Andreas Schur's Books

Classical Summation in Commutative and Noncommutative Lp-Spaces

By: Andreas Defant

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Classical Summation in Commutative and Noncommutative Lp-Spaces

By: Andreas Defant

The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).

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178

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642204376

ISBN 13

9783642204371

Solving Fault Diagnosis Problems

Linear Synthesis Techniques

By: Andreas Varga

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Solving Fault Diagnosis Problems

Linear Synthesis Techniques

By: Andreas Varga

This book addresses fault detection and isolation topics from a computational perspective. Unlike most existing literature, it bridges the gap between the existing well-developed theoretical results and the realm of reliable computational synthesis procedures. The model-based approach to fault detection and diagnosis has been the subject of ongoing research for the past few decades. While the theoretical aspects of fault diagnosis on the basis of linear models are well understood, most of the computational methods proposed for the synthesis of fault detection and isolation filters are not satisfactory from a numerical standpoint. Several features make this book unique in the fault detection literature: Solution of standard synthesis problems in the most general setting, for both continuous- and discrete-time systems, regardless of whether they are proper or not; consequently, the proposed synthesis procedures can solve a specific problem whenever a solution exists Emphasis on the best numerical algorithms to solve the synthesis problems for linear systems in generalized state-space form (also known as descriptor systems) Development of general synthesis procedures relying on new computational paradigms, such as factorization-based design based on filter updating techniques and nullspace-based synthesis Availability of a comprehensive set of free accompanying software tools for descriptor systems, which allows readers to easily implement all synthesis procedures presented in the book and ensures that all results are reproducible This book is primarily intended for researchers and advanced graduate students in the areas of fault diagnosis and fault-tolerant control. It will also appeal to mathematicians with an interest in control-oriented numerics.

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412

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Springer

Published Date

ISBN 10

3319515594

ISBN 13

9783319515595

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

User Guide for the MATLAB Reservoir Simulation Toolbox (MRST)

By: Knut-Andreas Lie

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An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

User Guide for the MATLAB Reservoir Simulation Toolbox (MRST)

By: Knut-Andreas Lie

This book provides a self-contained introduction to the simulation of flow and transport in porous media, written by a developer of numerical methods. The reader will learn how to implement reservoir simulation models and computational algorithms in a robust and efficient manner. The book contains a large number of numerical examples, all fully equipped with online code and data, allowing the reader to reproduce results, and use them as a starting point for their own work. All of the examples in the book are based on the MATLAB Reservoir Simulation Toolbox (MRST), an open-source toolbox popular popularity in both academic institutions and the petroleum industry. The book can also be seen as a user guide to the MRST software. It will prove invaluable for researchers, professionals and advanced students using reservoir simulation methods. This title is also available as Open Access on Cambridge Core.

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677

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Cambridge University Press

Published Date

ISBN 10

1108597696

ISBN 13

9781108597692

Quantum Chromodynamics

By: Walter Greiner,Andreas Schäfer

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Quantum Chromodynamics

By: Walter Greiner,Andreas Schäfer

Quantum Chromodynamics is a thorough introduction for students in theoretical physics and scientists needing a reference and exercise book in this field. The book presents the necessary mathematical tools together with many examples and worked problems. In introductory chapters the reader becomes familiar with the hadron spectrum, while the SU(N) symmetry groups and the relativistic field theory are briefly recapitulated; then a discussion of scalar quantum electrodynamics and scattering reactions follow before gauge quark-quark interactions, perturbational QCD, renormalization groups, and tests of pertubational QCD are all treated in detail. Chapters on non-perturbational QCD and quasi-phenomenological applications conclude the text.

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423

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Springer Science & Business Media

Published Date

ISBN 10

3642579787

ISBN 13

9783642579783

Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

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Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.

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464

Publisher

SIAM

Published Date

ISBN 10

0898717760

ISBN 13

9780898717761

Parabolic Geometries I

Background and General Theory

By: Andreas Čap,Jan Slovák

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Parabolic Geometries I

Background and General Theory

By: Andreas Čap,Jan Slovák

Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions. The characteristic feature of parabolic geometries is an equivalent description by a Cartan geometry modeled on a generalized flag manifold (the quotient of a semisimple Lie group by a parabolic subgroup). Background on differential geometry, with a view towards Cartan connections, and on semisimple Lie algebras and their representations, which play a crucial role in the theory, is collected in two introductory chapters. The main part discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott–Borel–Weil theorem, which is used as an important tool. For many examples, the complete description of the geometry and its basic invariants is worked out in detail. The constructions of correspondence spaces and twistor spaces and analogs of the Fefferman construction are presented both in general and in several examples. The last chapter studies Weyl structures, which provide classes of distinguished connections as well as an equivalent description of the Cartan connection in terms of data associated to the underlying geometry. Several applications are discussed throughout the text.

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642

Publisher

American Mathematical Society

Published Date

ISBN 10

1470478226

ISBN 13

9781470478223

Stability Preservation for Parametric Model Order Reduction by Matrix Interpolation

By: Andreas Michael Barthlen

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Stability Preservation for Parametric Model Order Reduction by Matrix Interpolation

By: Andreas Michael Barthlen

In dieser Arbeit wird das Problem der Stabilitätserhaltung für parametrische Modellreduktion mittels Matrixinterpolation untersucht. Hierfür werden die benötigten mathematischen Grundlagen aus der Systemtheorie eingeführt. Es werden darüber hinaus die beiden bekanntesten Modellreduktionsverfahren für lineare Systeme betrachtet und ein kurzer Überblick über verschiedene relevante Methoden zur parametrischen Modellreduktion gegeben. Die titelgebende Matrixinterpolation wird im Detail analysiert, und es werden die verschiedenen Schwierigkeiten des Verfahrens, als auch existierende Lösungen aus der Literatur, untersucht. Auf diesen aufbauend wird ein Verfahren zur Erweiterung von lokalen Unterräumen vorgeschlagen, während für die aus der Literatur bekannten Verfahren zur Stabilitätserhaltung mögliche Probleme aufgezeigt und neue theoretische Resultate gegeben werden. Es wird als Alternative ein neuartiges, flexibles Verfahren zur Stabilitätserhaltung vorgeschlagen, dessen potenzielle Vor- und Nachteile für zwei numerische Beispiele gezeigt werden. In this thesis the problem of stability preservation for parametric model order reduction by matrix interpolation is investigated. For this purpose the necessary mathematical fundamentals from system theory are given. Furthermore the two most popular model order reduction methods for linear systems are looked at and a brief introduction to various relevant methods for parametric model order reduction is given. The title giving matrix interpolation is analyzed in detail and its various problems, as well as solutions from literature, are studied. Based on these a procedure for the extension of local subspaces is given, whereas for the stability preservation methods known from literature possible problems are shown and new theoretical results are given. As an alternative a novel, flexible method for stability preservation is proposed and its potential pros and cons are shown for two numerical examples.

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134

Publisher

Cuvillier Verlag

Published Date

ISBN 10

3736983611

ISBN 13

9783736983618

A Direct Method for Parabolic PDE Constrained Optimization Problems

By: Andreas Potschka

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A Direct Method for Parabolic PDE Constrained Optimization Problems

By: Andreas Potschka

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

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220

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3658044764

ISBN 13

9783658044763

Practical Optimization

Algorithms and Engineering Applications

By: Andreas Antoniou,Wu-Sheng Lu

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Practical Optimization

Algorithms and Engineering Applications

By: Andreas Antoniou,Wu-Sheng Lu

Practical Optimization: Algorithms and Engineering Applications is a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first-year graduate course or an advanced undergraduate course. Each half of the book contains a full semester’s worth of complementary yet stand-alone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable for practitioners in the field.

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675

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Springer Science & Business Media

Published Date

ISBN 10

0387711074

ISBN 13

9780387711072

Machine Learning for Science and Engineering, Volume 1: Fundamentals

By: Herman Jaramillo,Andreas Rüger

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Machine Learning for Science and Engineering, Volume 1: Fundamentals

By: Herman Jaramillo,Andreas Rüger

This textbook teaches underlying mathematics, terminology, and programmatic skills to implement, test, and apply machine learning to real-world problems. Exercises with field data, including well logs and weather measurements, prepare and encourage readers to begin using software to validate results and program their own creative data solutions. As the size and complexity of data soars exponentially, machine learning (ML) has gained prominence in applications in geoscience and related fields. ML-powered technology increasingly rivals or surpasses human performance and fuels a large range of leading-edge research. This textbook teaches the underlying mathematics, terminology, and programmatic skills to implement, test, and apply ML to real-world problems. It builds the mathematical pillars required to thoroughly comprehend and master modern ML concepts and translates the newly gained mathematical understanding into better applied data science. Exercises with raw field data, including well logs and weather measurements, prepare and encourage the reader to begin using software to validate results and program their own creative data solutions. Most importantly, the reader always keeps an eye on the ML’s imperfect data situations as encountered in the real world.

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408

Publisher

SEG Books

Published Date

ISBN 10

1560803886

ISBN 13

9781560803881

Methods in the Theory of Hereditarily Indecomposable Banach Spaces

By: Spiros Argyros,Andreas Tolias

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Methods in the Theory of Hereditarily Indecomposable Banach Spaces

By: Spiros Argyros,Andreas Tolias

A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.

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128

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821835211

ISBN 13

9780821835210

Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$

By: Chris Parker,Gerald Pientka,Andreas Seidel,Gernot Stroth

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Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$

By: Chris Parker,Gerald Pientka,Andreas Seidel,Gernot Stroth

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194

Publisher

American Mathematical Society

Published Date

ISBN 10

1470467291

ISBN 13

9781470467296

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

By: Andreas Recknagel,Volker Schomerus

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Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

By: Andreas Recknagel,Volker Schomerus

A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.

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349

Publisher

Cambridge University Press

Published Date

ISBN 10

0521832233

ISBN 13

9780521832236

Numerical Analysis in Modern Scientific Computing

An Introduction

By: Peter Deuflhard,Andreas Hohmann

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Numerical Analysis in Modern Scientific Computing

An Introduction

By: Peter Deuflhard,Andreas Hohmann

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

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350

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387215840

ISBN 13

9780387215846

Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication

By: Andreas Gründinger

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Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication

By: Andreas Gründinger

This book investigates adaptive physical-layer beamforming and resource allocation that ensure reliable data transmission in the multi-antenna broadcast channel. The book provides an overview of robust optimization techniques and modelling approximations to deal with stochastic performance metrics. One key contribution of the book is a closed-form description of the achievable rates with unlimited transmit power for a rank-one channel error model. Additionally, the book provides a concise duality framework to transform mean square error (MSE) based beamformer designs, e.g., quality of service and balancing optimizations, into equivalent uplink filter designs. For the algorithmic solution, the book analyses the following paradigm: transmission to receivers with large MSE targets (low demands) is switched off if the transmit power is low. The book also studies chance constrained optimizations for limiting the outage probability. In this context, the book provides two novel conservative outage probability approximations, that result in convex beamformer optimizations. To compensate for the remaining inaccuracy, the book introduces a post-processing power allocation. Finally, the book applies the introduced beamformer designs for SatCom, where interference from neighboring spotbeams and channel fading are the main limitations.

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261

Publisher

Springer Nature

Published Date

ISBN 10

3030295788

ISBN 13

9783030295783

Geometric Multivector Analysis

From Grassmann to Dirac

By: Andreas Rosén

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Geometric Multivector Analysis

From Grassmann to Dirac

By: Andreas Rosén

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal tool for studying spacetime isometries and Möbius maps in arbitrary dimensions. The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compact manifolds, one of the most celebrated achievements of 20th-century mathematics. The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.

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471

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Springer Nature

Published Date

ISBN 10

3030314111

ISBN 13

9783030314118

Multiscale and Adaptivity: Modeling, Numerics and Applications

C.I.M.E. Summer School, Cetraro, Italy 2009

By: Silvia Bertoluzza,Ricardo H. Nochetto,Alfio Quarteroni,Kunibert G. Siebert,Andreas Veeser

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Multiscale and Adaptivity: Modeling, Numerics and Applications

C.I.M.E. Summer School, Cetraro, Italy 2009

By: Silvia Bertoluzza,Ricardo H. Nochetto,Alfio Quarteroni,Kunibert G. Siebert,Andreas Veeser

This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

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324

Publisher

Springer

Published Date

ISBN 10

3642240798

ISBN 13

9783642240799

Wave Phenomena

Mathematical Analysis and Numerical Approximation

By: Willy Dörfler,Marlis Hochbruck,Jonas Köhler,Andreas Rieder,Roland Schnaubelt,Christian Wieners

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Wave Phenomena

Mathematical Analysis and Numerical Approximation

By: Willy Dörfler,Marlis Hochbruck,Jonas Köhler,Andreas Rieder,Roland Schnaubelt,Christian Wieners

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

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368

Publisher

Springer Nature

Published Date

ISBN 10

3031057937

ISBN 13

9783031057939

Multilinear Singular Integral Forms of Christ-Journe Type

By: Andreas Seeger,Charles K. Smart,Brian Street

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Multilinear Singular Integral Forms of Christ-Journe Type

By: Andreas Seeger,Charles K. Smart,Brian Street

We introduce a class of multilinear singular integral forms which generalize the Christ-Journe multilinear forms. The research is partially motivated by an approach to Bressan’s problem on incompressible mixing flows. A key aspect of the theory is that the class of operators is closed under adjoints (i.e. the class of multilinear forms is closed under permutations of the entries). This, together with an interpolation, allows us to reduce the boundedness.

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146

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470434377

ISBN 13

9781470434373

Numerical Analysis

A First Course in Scientific Computation

By: Peter Deuflhard,Andreas Hohmann

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Numerical Analysis

A First Course in Scientific Computation

By: Peter Deuflhard,Andreas Hohmann

No detailed description available for "Numerical Analysis".

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372

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110891999

ISBN 13

9783110891997

Logic and Its Applications

By: Andreas Blass,Yi Zhang

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Logic and Its Applications

By: Andreas Blass,Yi Zhang

Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.

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314

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821834746

ISBN 13

9780821834749

Mathematical Physics: Classical Mechanics

By: Andreas Knauf

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Mathematical Physics: Classical Mechanics

By: Andreas Knauf

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.

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683

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Springer

Published Date

ISBN 10

3662557746

ISBN 13

9783662557747

The Trials and Tribulations of Juan Zinniker

A Novel

By: Andreas Pritzker

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The Trials and Tribulations of Juan Zinniker

A Novel

By: Andreas Pritzker

Thirty-nine-year-old Juan Zinniker is wealthy, successful in business, active in scientific research, extremely attractive, and seems to be made of the stuff that magnetically attracts women – that’s how one tabloid magazine described him. But as we follow Juan for three fateful weeks, we discover who he really is, what drives him, and the trials and tribulations to which he is unexpectedly subjected.

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226

Publisher

BoD – Books on Demand

Published Date

ISBN 10

3738606734

ISBN 13

9783738606737

3D Robotic Mapping

The Simultaneous Localization and Mapping Problem with Six Degrees of Freedom

By: Andreas Nüchter

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3D Robotic Mapping

The Simultaneous Localization and Mapping Problem with Six Degrees of Freedom

By: Andreas Nüchter

Focuses on acquiring spatial models of physical environments through mobile robots The robotic mapping problem is commonly referred to as SLAM (simultaneous localization and mapping). 3D maps are necessary to avoid collisions with complex obstacles and to self-localize in six degrees of freedom (x-, y-, z-position, roll, yaw and pitch angle) New solutions to the 6D SLAM problem for 3D laser scans are proposed and a wide variety of applications are presented

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214

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Springer

Published Date

ISBN 10

3540898840

ISBN 13

9783540898849

Dirichlet Series and Holomorphic Functions in High Dimensions

By: Andreas Defant,Domingo García,Manuel Maestre,Pablo Sevilla-Peris

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Dirichlet Series and Holomorphic Functions in High Dimensions

By: Andreas Defant,Domingo García,Manuel Maestre,Pablo Sevilla-Peris

Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.

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709

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Cambridge University Press

Published Date

ISBN 10

1108476716

ISBN 13

9781108476713

Multi-pitch Estimation

By: Mads Græsbøll Christensen,Andreas Jakobsson

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Multi-pitch Estimation

By: Mads Græsbøll Christensen,Andreas Jakobsson

Periodic signals can be decomposed into sets of sinusoids having frequencies that are integer multiples of a fundamental frequency. The problem of finding such fundamental frequencies from noisy observations is important in many speech and audio applications, where it is commonly referred to as pitch estimation. These applications include analysis, compression, separation, enhancement, automatic transcription and many more. In this book, an introduction to pitch estimation is given and a number of statistical methods for pitch estimation are presented. The basic signal models and associated estimation theoretical bounds are introduced, and the properties of speech and audio signals are discussed and illustrated. The presented methods include both single- and multi-pitch estimators based on statistical approaches, like maximum likelihood and maximum a posteriori methods, filtering methods based on both static and optimal adaptive designs, and subspace methods based on the principles of subspace orthogonality and shift-invariance. The application of these methods to analysis of speech and audio signals is demonstrated using both real and synthetic signals, and their performance is assessed under various conditions and their properties discussed. Finally, the estimators are compared in terms of computational and statistical efficiency, generalizability and robustness. Table of Contents: Fundamentals / Statistical Methods / Filtering Methods / Subspace Methods / Amplitude Estimation

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161

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Morgan & Claypool Publishers

Published Date

ISBN 10

1598298380

ISBN 13

9781598298383

Eigenvalue and Eigenvector Problems in Applied Mechanics

By: Sorin Vlase,Marin Marin,Andreas Öchsner

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Eigenvalue and Eigenvector Problems in Applied Mechanics

By: Sorin Vlase,Marin Marin,Andreas Öchsner

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.

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262

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Springer

Published Date

ISBN 10

3030009912

ISBN 13

9783030009915

Fuzzy Control

Fundamentals, Stability and Design of Fuzzy Controllers

By: Kai Michels,Frank Klawonn,Rudolf Kruse,Andreas Nürnberger

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Fuzzy Control

Fundamentals, Stability and Design of Fuzzy Controllers

By: Kai Michels,Frank Klawonn,Rudolf Kruse,Andreas Nürnberger

This book provides a critical discussion of fuzzy controllers from the perspective of classical control theory. Special emphasis is placed on topics of importance for industrial applications, including self-tuning of fuzzy controllers, optimisation and stability analysis. The text begins with a detailed introduction to fuzzy systems and control theory, and guides the reader to a thorough understanding of up-to-date research results.

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417

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Springer

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ISBN 10

354031766X

ISBN 13

9783540317661

Conformal Differential Geometry

Q-Curvature and Conformal Holonomy

By: Helga Baum,Andreas Juhl

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Conformal Differential Geometry

Q-Curvature and Conformal Holonomy

By: Helga Baum,Andreas Juhl

Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible. The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries.

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161

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764399090

ISBN 13

9783764399092

Principles Of Quantum Artificial Intelligence: Quantum Problem Solving And Machine Learning (Second Edition)

By: Andreas Miroslaus Wichert

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Principles Of Quantum Artificial Intelligence: Quantum Problem Solving And Machine Learning (Second Edition)

By: Andreas Miroslaus Wichert

This unique compendium presents an introduction to problem solving, information theory, statistical machine learning, stochastic methods and quantum computation. It indicates how to apply quantum computation to problem solving, machine learning and quantum-like models to decision making — the core disciplines of artificial intelligence.Most of the chapters were rewritten and extensive new materials were updated. New topics include quantum machine learning, quantum-like Bayesian networks and mind in Everett many-worlds.

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497

Publisher

World Scientific

Published Date

ISBN 10

9811224323

ISBN 13

9789811224324

Machine Learning - A Journey To Deep Learning: With Exercises And Answers

By: Andreas Miroslaus Wichert,Luis Sa-couto

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Machine Learning - A Journey To Deep Learning: With Exercises And Answers

By: Andreas Miroslaus Wichert,Luis Sa-couto

This unique compendium discusses some core ideas for the development and implementation of machine learning from three different perspectives — the statistical perspective, the artificial neural network perspective and the deep learning methodology.The useful reference text represents a solid foundation in machine learning and should prepare readers to apply and understand machine learning algorithms as well as to invent new machine learning methods. It tells a story outgoing from a perceptron to deep learning highlighted with concrete examples, including exercises and answers for the students.Related Link(s)

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641

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World Scientific

Published Date

ISBN 10

9811234078

ISBN 13

9789811234071

Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis

Large Finite Systems and Renormalization Analysis

By: J. T. Cox,Jeff Groah,Donald Andrew Dawson,Andreas Greven

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Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis

Large Finite Systems and Renormalization Analysis

By: J. T. Cox,Jeff Groah,Donald Andrew Dawson,Andreas Greven

Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.

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114

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821835424

ISBN 13

9780821835425

Topological Circle Planes and Topological Quadrangles

By: Andreas E Schroth

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Topological Circle Planes and Topological Quadrangles

By: Andreas E Schroth

This research note presents a complete treatment of the connection between topological circle planes and topological generalized quadrangles. The author uses this connection to provide a better understanding of the relationships between different types of circle planes and to solve a topological version of the problem of Apollonius. Topological Circle Planes and Topological Quadrangles begins with a foundation in classical circle planes and the real symmetric generalized quadrangle and the connection between them. This provides a solid base from which the author offers a more generalized exploration of the topological case. He also compares this treatment to the finite case. Subsequent chapters examine Laguerre, Möbius, and Minkowski planes and their respective relationships to antiregular quadrangles. The author addresses the Lie geometry of each and discuss the relationships of circle planes-the "sisters" of Möbius, Laguerre, and Minkowski planes - and concludes by solving a topological version of the problem of Apollonius in Laguerre, Möbius, and Minkowski planes. The treatment offered in this volume offers complete coverage of the topic. The first part of the text is accessible to anyone with a background in analytic geometry, while the second part requires basic knowledge in general and algebraic topology. Researchers interested in geometry-particularly in topological geometry-will find this volume intriguing and informative. Most of the results presented are new and can be applied to various problems in the field of topological circle planes. Features

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176

Publisher

CRC Press

Published Date

ISBN 10

0582288118

ISBN 13

9780582288119

An Introduction to Lie Groups and the Geometry of Homogeneous Spaces

By: Andreas Arvanitogeōrgos

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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces

By: Andreas Arvanitogeōrgos

It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of mathematics. In this book, Arvanitoyeorgos outlines enough of the prerequisites to get the reader started. He then chooses a path through this rich and diverse theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces. In this way, he avoids the extra detail needed for a thorough discussion of other topics. Lie groups and homogeneous spaces are especially useful to study in geometry, as they provide excellent examples where quantities (such as curvature) are easier to compute. A good understanding of them provides lasting intuition, especially in differential geometry. The book is suitable for advanced undergraduates, graduate students, and research mathematicians interested in differential geometry and neighboring fields, such as topology, harmonic analysis, and mathematical physics.

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162

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827782

ISBN 13

9780821827789

Cohomological Theory of Dynamical Zeta Functions

By: Andreas Juhl

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Cohomological Theory of Dynamical Zeta Functions

By: Andreas Juhl

Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were suggested by an analogy between Weil's explicit formula for the Riemann zeta function and Selberg's trace formula ([261]). The purpose of the cohomological theory is to understand the analytical properties of the zeta functions on the basis of suitable analogs of the Lefschetz fixed point formula in which periodic orbits of the geodesic flow take the place of fixed points. This approach is parallel to Weil's idea to analyze the zeta functions of pro jective algebraic varieties over finite fields on the basis of suitable versions of the Lefschetz fixed point formula. The Lefschetz formula formalism shows that the divisors of the rational Hassc-Wcil zeta functions are determined by the spectra of Frobenius operators on l-adic cohomology.

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712

Publisher

Birkhäuser

Published Date

ISBN 10

3034883404

ISBN 13

9783034883405

Systems Biology

Mathematical Modeling and Model Analysis

By: Andreas Kremling

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Systems Biology

Mathematical Modeling and Model Analysis

By: Andreas Kremling

Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are systematically applied in biotechnology. The first part of the book introduces biological basics, such as metabolism, signaling, gene expression, and control as well as mathematical modeling fundamentals, including deterministic models and thermodynamics. The text also discusses linear regression methods, explains the differences between linear and nonlinear regression, and illustrates how to determine input variables to improve estimation accuracy during experimental design. The second part covers intracellular processes, including enzymatic reactions, polymerization processes, and signal transduction. The author highlights the process–function–behavior sequence in cells and shows how modeling and analysis of signal transduction units play a mediating role between process and function. The third part presents theoretical methods that address the dynamics of subsystems and the behavior near a steady state. It covers techniques for determining different time scales, sensitivity analysis, structural kinetic modeling, and theoretical control engineering aspects, including a method for robust control. It also explores frequent patterns (motifs) in biochemical networks, such as the feed-forward loop in the transcriptional network of E. coli. Moving on to models that describe a large number of individual reactions, the last part looks at how these cellular models are used in biotechnology. The book also explains how graphs can illustrate the link between two components in large networks with several interactions.

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Page Count

382

Publisher

CRC Press

Published Date

ISBN 10

1466567899

ISBN 13

9781466567894

Book's by Andreas Schur

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