Antonio Sk's Books

Vector Analysis Versus Vector Calculus

By: Antonio Galbis,Manuel Maestre

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Vector Analysis Versus Vector Calculus

By: Antonio Galbis,Manuel Maestre

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

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383

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Springer Science & Business Media

Published Date

ISBN 10

1461422000

ISBN 13

9781461422006

Fuzzy Relation Equations and Their Applications to Knowledge Engineering

By: Antonio Di Nola,S. Sessa,Witold Pedrycz,E. Sanchez

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Fuzzy Relation Equations and Their Applications to Knowledge Engineering

By: Antonio Di Nola,S. Sessa,Witold Pedrycz,E. Sanchez

It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we leam about the basically simple coneept of a relation, the more aware we become of its fundamental importanee and wide ranging ramifications. The work by Di Nola, Pedrycz, Sanchez, and Sessa takes us a long distanee in this direction by opening new vistas on both the theory and applications of fuzzy relations - relations which serve to model the imprecise coneepts which pervade the real world. Di Nola, Pedrycz, Sanchez, and Sessa focus their attention on a eentral problem in the theory of fuzzy relations, namely the solution of fuzzy relational equations. The theory of such equations was initiated by Sanchez in 1976, ina seminal paper dealing with the resolution of composite fuzzy relational equations. Sinee then, hundreds of papers have been written on this and related topics, with major contributions originating in France, Italy, Spain, Germany, Poland, Japan, China, the Soviet Union, India, and other countries. The bibliography included in this volume highlights the widespread interest in the theory of fuzzy relational equations and the broad spectrum of its applications.

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285

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Springer Science & Business Media

Published Date

ISBN 10

9401716501

ISBN 13

9789401716505

The Quantum Nature Of Materials

By: Antonio H Castro Neto

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The Quantum Nature Of Materials

By: Antonio H Castro Neto

This self-contained book takes the reader on a journey from the basic facts about atoms to topics at the forefront of current condensed matter research, giving students a broad view of materials science.The contents grew out of the lectures on solid state physics given to both theorists and experimentalists in the US who had little previous background in the area. The topics are of direct relevance for the interpretation of experimental data. Even if they may not be of chronological order, their universality is emphasized. The mathematics is simplified without sacrificing precision, providing an intuitive understanding of the phenomena discussed.The book is easily accessible to any mathematically inclined scientist or engineer with a basic knowledge of quantum mechanics.

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493

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World Scientific

Published Date

ISBN 10

9811242429

ISBN 13

9789811242427

The Hybrid High-Order Method for Polytopal Meshes

Design, Analysis, and Applications

By: Daniele Antonio Di Pietro,Jérôme Droniou

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The Hybrid High-Order Method for Polytopal Meshes

Design, Analysis, and Applications

By: Daniele Antonio Di Pietro,Jérôme Droniou

This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.

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552

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Springer Nature

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ISBN 10

3030372030

ISBN 13

9783030372033

Economic Cycles in Emerging and Advanced Countries

Synchronization, International Spillovers and the Decoupling Hypothesis

By: Antonio Pesce

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Economic Cycles in Emerging and Advanced Countries

Synchronization, International Spillovers and the Decoupling Hypothesis

By: Antonio Pesce

This book contributes to the debate on the decoupling of emerging economies from the advanced economies with a new, empirical investigation approach. Taking counterfactual experiments performed using a time-varying panel VAR model, the author argues that over the last thirty years, emerging economies have become less vulnerable to shocks spreading from advanced economies. This resilience to external shocks has changed in a non-progressive manner over time, with phases of greater resilience followed by others of lower resilience and vice versa. This research outlines its wave-like path and presents new results that contribute to the discussion.

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189

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Springer

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ISBN 10

3319170856

ISBN 13

9783319170855

Formal Methods for Software Engineering

Languages, Methods, Application Domains

By: Markus Roggenbach,Antonio Cerone,Bernd-Holger Schlingloff,Gerardo Schneider,Siraj Ahmed Shaikh

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Formal Methods for Software Engineering

Languages, Methods, Application Domains

By: Markus Roggenbach,Antonio Cerone,Bernd-Holger Schlingloff,Gerardo Schneider,Siraj Ahmed Shaikh

Software programs are formal entities with precise meanings independent of their programmers, so the transition from ideas to programs necessarily involves a formalisation at some point. The first part of this graduate-level introduction to formal methods develops an understanding of what constitutes formal methods and what their place is in Software Engineering. It also introduces logics as languages to describe reasoning and the process algebra CSP as a language to represent behaviours. The second part offers specification and testing methods for formal development of software, based on the modelling languages CASL and UML. The third part takes the reader into the application domains of normative documents, human machine interfaces, and security. Use of notations and formalisms is uniform throughout the book. Topics and features: Explains foundations, and introduces specification, verification, and testing methods Explores various application domains Presents realistic and practical examples, illustrating concepts Brings together contributions from highly experienced educators and researchers Offers modelling and analysis methods for formal development of software Suitable for graduate and undergraduate courses in software engineering, this uniquely practical textbook will also be of value to students in informatics, as well as to scientists and practical engineers, who want to learn about or work more effectively with formal theories and methods. Markus Roggenbach is a Professor in the Dept. of Computer Science of Swansea University. Antonio Cerone is an Associate Professor in the Dept. of Computer Science of Nazarbayev University, Nur-Sultan. Bernd-Holger Schlingloff is a Professor in the Institut für Informatik of Humboldt-Universität zu Berlin. Gerardo Schneider is a Professor in the Dept. of Computer Science and Engineering of University of Gothenburg. Siraj Ahmed Shaikh is a Professor in the Institute for Future Transport and Cities of Coventry University. The companion site for the book offers additional resources, including further material for selected chapters, prepared lab classes, a list of errata, slides and teaching material, and virtual machines with preinstalled tools and resources for hands-on experience with examples from the book. The URL is: https://sefm-book.github.io

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538

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Springer Nature

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ISBN 10

303038800X

ISBN 13

9783030388003

An Excursion through Elementary Mathematics, Volume III

Discrete Mathematics and Polynomial Algebra

By: Antonio Caminha Muniz Neto

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An Excursion through Elementary Mathematics, Volume III

Discrete Mathematics and Polynomial Algebra

By: Antonio Caminha Muniz Neto

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

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647

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Springer

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ISBN 10

331977977X

ISBN 13

9783319779775

Cox Rings

By: Ivan Arzhantsev,Ulrich Derenthal,Jürgen Hausen,Antonio Laface

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Cox Rings

By: Ivan Arzhantsev,Ulrich Derenthal,Jürgen Hausen,Antonio Laface

Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry. The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty.

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539

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Cambridge University Press

Published Date

ISBN 10

1316147959

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9781316147955

Kurzweil-Henstock Integral in Riesz spaces

By: Antonio Boccuto,Beloslav Riečan,Marta Vrábelová

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Kurzweil-Henstock Integral in Riesz spaces

By: Antonio Boccuto,Beloslav Riečan,Marta Vrábelová

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Sipos integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold.

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235

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Bentham Science Publishers

Published Date

ISBN 10

1608050033

ISBN 13

9781608050031

Tracking Extended Objects with Active Models and Negative Measurements

By: Zea Cobo, Antonio Kleber

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Tracking Extended Objects with Active Models and Negative Measurements

By: Zea Cobo, Antonio Kleber

Extended object tracking deals with estimating the shape and pose of an object based on noisy point measurements. This task is not straightforward, as we may be faced with scarce low-quality measurements, little a priori information, or we may be unable to observe the entire target. This work aims to address these challenges by incorporating ideas from active contours and exploiting information from negative measurements, which tell us where the target cannot be.

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212

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KIT Scientific Publishing

Published Date

ISBN 10

373150877X

ISBN 13

9783731508779

Lie Equations, Vol. I

General Theory

By: Antonio Kumpera,Donald Clayton Spencer

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Lie Equations, Vol. I

General Theory

By: Antonio Kumpera,Donald Clayton Spencer

In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

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312

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Princeton University Press

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ISBN 10

1400881730

ISBN 13

9781400881734

Computational Modeling of Neural Activities for Statistical Inference

By: Antonio Kolossa

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Computational Modeling of Neural Activities for Statistical Inference

By: Antonio Kolossa

This authored monograph supplies empirical evidence for the Bayesian brain hypothesis by modeling event-related potentials (ERP) of the human electroencephalogram (EEG) during successive trials in cognitive tasks. The employed observer models are useful to compute probability distributions over observable events and hidden states, depending on which are present in the respective tasks. Bayesian model selection is then used to choose the model which best explains the ERP amplitude fluctuations. Thus, this book constitutes a decisive step towards a better understanding of the neural coding and computing of probabilities following Bayesian rules. The target audience primarily comprises research experts in the field of computational neurosciences, but the book may also be beneficial for graduate students who want to specialize in this field.

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144

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Springer

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ISBN 10

3319322850

ISBN 13

9783319322858

A Textbook on Ordinary Differential Equations

By: Shair Ahmad,Antonio Ambrosetti

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A Textbook on Ordinary Differential Equations

By: Shair Ahmad,Antonio Ambrosetti

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.

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337

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Springer

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ISBN 10

3319164082

ISBN 13

9783319164083

Minimal Surfaces from a Complex Analytic Viewpoint

By: Antonio Alarcón,Franc Forstnerič,Francisco J. López

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Minimal Surfaces from a Complex Analytic Viewpoint

By: Antonio Alarcón,Franc Forstnerič,Francisco J. López

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.

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430

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Springer Nature

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ISBN 10

3030690563

ISBN 13

9783030690564

Fundamental Aspects of Plasma Chemical Physics

Thermodynamics

By: Mario Capitelli,Gianpiero Colonna,Antonio D'Angola

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Fundamental Aspects of Plasma Chemical Physics

Thermodynamics

By: Mario Capitelli,Gianpiero Colonna,Antonio D'Angola

Fundamental Aspects of Plasma Chemical Physics - Thermodynamics develops basic and advanced concepts of plasma thermodynamics from both classical and statistical points of view. After a refreshment of classical thermodynamics applied to the dissociation and ionization regimes, the book invites the reader to discover the role of electronic excitation in affecting the properties of plasmas, a topic often overlooked by the thermal plasma community. Particular attention is devoted to the problem of the divergence of the partition function of atomic species and the state-to-state approach for calculating the partition function of diatomic and polyatomic molecules. The limit of ideal gas approximation is also discussed, by introducing Debye-Huckel and virial corrections. Throughout the book, worked examples are given in order to clarify concepts and mathematical approaches. This book is a first of a series of three books to be published by the authors on fundamental aspects of plasma chemical physics. The next books will discuss transport and kinetics.

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318

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Springer Science & Business Media

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ISBN 10

1441981829

ISBN 13

9781441981820

Trends in Number Theory

By: Fernando Chamizo,Jordi Guàrdia, Antonio Rojas-León,José María Tornero

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Trends in Number Theory

By: Fernando Chamizo,Jordi Guàrdia, Antonio Rojas-León,José María Tornero

This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).

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258

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American Mathematical Soc.

Published Date

ISBN 10

0821898582

ISBN 13

9780821898581

Good Pharma

The Public-Health Model of the Mario Negri Institute

By: Donald W. Light,Antonio F. Maturo

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Good Pharma

The Public-Health Model of the Mario Negri Institute

By: Donald W. Light,Antonio F. Maturo

Drawing on key concepts in sociology and management, this history describes a remarkable institute that has elevated medical research and worked out solutions to the troubling practices of commercial pharmaceutical research. Good Pharma is the answer to Goldacre's Bad Pharma: ethical research without commercial distortions.

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278

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Springer

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ISBN 10

1137374330

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9781137374332

Principles of Blockchain Systems

By: Fernández Antonio,Georgiou Chryssis,Herlihy Maurice,Potop-Butucaru Maria

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Principles of Blockchain Systems

By: Fernández Antonio,Georgiou Chryssis,Herlihy Maurice,Potop-Butucaru Maria

This book is the first to present the state of the art and provide technical focus on the latest advances in the foundations of blockchain systems. It is a collaborative work between specialists in cryptography, distributed systems, formal languages, and economics, and addresses hot topics in blockchains from a theoretical perspective: cryptographic primitives, consensus, formalization of blockchain properties, game theory applied to blockchains, and economical issues. This book reflects the expertise of the various authors, and is intended to benefit researchers, students, and engineers who seek an understanding of the theoretical foundations of blockchains.

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217

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Springer Nature

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ISBN 10

3031018079

ISBN 13

9783031018077

Neuronal Ensemble Modeling and Analysis with Variable Order Markov Models

By: Antonio Giuliano Zippo

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Neuronal Ensemble Modeling and Analysis with Variable Order Markov Models

By: Antonio Giuliano Zippo

Neuronal cells (neurons) mainly transmit signals by action potentials or spikes.Neuronal electrical activity is recorded from experimental animals bymicroelectrodesplaced in specific brain areas. These electrochemical fast phenomenaoccur as all-or-none events and can be analyzed as boolean sequences. Followingthis approach, several computational analyses reported most variable neuronalbehaviors expressed through a large variety of firing patterns [13]. Thesepatternshave been modeled as symbolic strings with a number of different techniques[23, 55]The results obtained with these methods come (i) from Ventrobasal ThalamicNuclei (VB) and Somatosensory Cortex (SSI) in Chronic Pain Animals (CPAs), (ii) from Primary Visual (V1) and (SSI) in rat Cortices and, finally, (iii) fromIL human Thalamus Nuclei in patients suffering from states of disorderedconsciousnesslike Persistent Vegetative State (PVS) and Minimum Conscious State(MCS).

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157

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Ledizioni

Published Date

ISBN 10

8895994574

ISBN 13

9788895994574

Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

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Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

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644

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Springer

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ISBN 10

3319775952

ISBN 13

9783319775951

Representation Theory of Algebras

Seventh International Conference on Representations of Algebras, August 22-26, 1994, Cocoyoc, Mexico

By: Raymundo Bautista,Roberto Martínez-Villa,José Antonio de la Peña

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Representation Theory of Algebras

Seventh International Conference on Representations of Algebras, August 22-26, 1994, Cocoyoc, Mexico

By: Raymundo Bautista,Roberto Martínez-Villa,José Antonio de la Peña

The ICRA VII was held at Cocoyoc, Mexico, in August 1994. This was the second time that the ICRA was held in Mexico: ICRA III took place in Puebla in 1980. The 1994 conference included 62 lectures, all listed in these Proceedings. Not all contributions presented, however, appear in this book. Most papers in this volume are in final form with complete proofs, with the only exception being the paper of Leszczynski and Skowronski, Auslander algebras of tame representation type, that the editors thought useful to include.

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780

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American Mathematical Soc.

Published Date

ISBN 10

0821803956

ISBN 13

9780821803950

Power System State Estimation

Theory and Implementation

By: Ali Abur,Antonio Gómez Expósito

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Power System State Estimation

Theory and Implementation

By: Ali Abur,Antonio Gómez Expósito

Offering an up-to-date account of the strategies utilized in state estimation of electric power systems, this text provides a broad overview of power system operation and the role of state estimation in overall energy management. It uses an abundance of examples, models, tables, and guidelines to clearly examine new aspects of state estimation, the testing of network observability, and methods to assure computational efficiency. Includes numerous tutorial examples that fully analyze problems posed by the inclusion of current measurements in existing state estimators and illustrate practical solutions to these challenges. Written by two expert researchers in the field, Power System State Estimation extensively details topics never before covered in depth in any other text, including novel robust state estimation methods, estimation of parameter and topology errors, and the use of ampere measurements for state estimation. It introduces various methods and computational issues involved in the formulation and implementation of the weighted least squares (WLS) approach, presents statistical tests for the detection and identification of bad data in system measurements, and reveals alternative topological and numerical formulations for the network observability problem.

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350

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CRC Press

Published Date

ISBN 10

0203913671

ISBN 13

9780203913673

Analytical Mechanics

An Introduction

By: Antonio Fasano,Department of Mathematics Antonio Fasano,Stefano Marmi,S. Marmi,Department of Mathematics S Marmi

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Analytical Mechanics

An Introduction

By: Antonio Fasano,Department of Mathematics Antonio Fasano,Stefano Marmi,S. Marmi,Department of Mathematics S Marmi

Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

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788

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Oxford University Press on Demand

Published Date

ISBN 10

0198508026

ISBN 13

9780198508021

Convergence Theorems for Lattice Group-Valued Measures

By: Antonio Boccuto,Xenofon Dimitriou

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Convergence Theorems for Lattice Group-Valued Measures

By: Antonio Boccuto,Xenofon Dimitriou

Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base.

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548

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Bentham Science Publishers

Published Date

ISBN 10

1681080095

ISBN 13

9781681080093

Topics in Algebra and Analysis

Preparing for the Mathematical Olympiad

By: Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado

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Topics in Algebra and Analysis

Preparing for the Mathematical Olympiad

By: Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado

The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.

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319

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Birkhäuser

Published Date

ISBN 10

331911946X

ISBN 13

9783319119465

Markov-modulated Processes And Semiregenerative Phenomena

By: Antonio Pacheco,Loon Ching Tang,Narahari U Prabhu

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Markov-modulated Processes And Semiregenerative Phenomena

By: Antonio Pacheco,Loon Ching Tang,Narahari U Prabhu

The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.

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237

Publisher

World Scientific

Published Date

ISBN 10

9814471704

ISBN 13

9789814471701

Renormings in Banach Spaces

A Toolbox

By: Antonio José Guirao,Vicente Montesinos,Václav Zizler

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Renormings in Banach Spaces

A Toolbox

By: Antonio José Guirao,Vicente Montesinos,Václav Zizler

This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensive lists and detailed indices that may lead to expected or unexpected information. Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.

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Page Count

621

Publisher

Springer Nature

Published Date

ISBN 10

3031086554

ISBN 13

9783031086557

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

By: Antonio Villar

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Operator Theorems with Applications to Distributive Problems and Equilibrium Models

By: Antonio Villar

Presentation Many economic problems, as equilibrium models, input-output analysis, rational behaviour, etc. , are usually modelled in terms of operators in Euclidean spaces. This monograph deals with the analysis of a number of formal problems involving this kind of operators (with particular reference to complementarity problems and variational inequalities), and their applications to distributive problems and equilibrium models. Thus the purpose of this work is to provide a set of new results on the solvability of those problems, and a number of economic applications that will illustrate the interest of these results in economics. It is worth stressing from the very begining that our analysis concentrates on the existence (and in some cases optimality) of solutions. That is what is meant here by solvability (in particular, nothing will be said with respect to the uniqueness, stability, sensitivity analysis or computation of solutions). The results on the solvability of operator problems presented here, were actually arrived at as a way of solving specific economic models. Yet we are going to relate this case by somehow reversing the way it happened, that is, starting with the formal results and then presenting a number of economic models which appear as applications of VIII these formal results. The rationale for this approach is twofold. First, it provides a neat track via which to go through the whole work. Then, because I would like to emphasize the interest of complementarity and variational inequalities problems in economic modelling.

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Page Count

166

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642457118

ISBN 13

9783642457111

From Finite Sample to Asymptotic Methods in Statistics

By: Pranab K. Sen,Julio M. Singer,Antonio C. Pedroso de Lima

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From Finite Sample to Asymptotic Methods in Statistics

By: Pranab K. Sen,Julio M. Singer,Antonio C. Pedroso de Lima

A broad view of exact statistical inference and the development of asymptotic statistical inference.

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Page Count

399

Publisher

Cambridge University Press

Published Date

ISBN 10

0521877229

ISBN 13

9780521877220

Design, Measurement and Management of Large-Scale IP Networks

Bridging the Gap Between Theory and Practice

By: Antonio Nucci,Konstantina Papagiannaki

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Design, Measurement and Management of Large-Scale IP Networks

Bridging the Gap Between Theory and Practice

By: Antonio Nucci,Konstantina Papagiannaki

Sets out the design and management principles of large-scale IP networks by weaving together theory and practice.

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Page Count

407

Publisher

Cambridge University Press

Published Date

ISBN 10

0521880696

ISBN 13

9780521880695

Computable Structure Theory

Within the Arithmetic

By: Antonio Montalbán

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Computable Structure Theory

Within the Arithmetic

By: Antonio Montalbán

In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures, structures such as graphs, groups, and orderings. Written by a contemporary expert in the subject, this is the first full monograph on computable structure theory in 20 years. Aimed at graduate students and researchers in mathematical logic, it brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework, making it easier for the reader to learn the main results and techniques in the area for application in their own research. This volume focuses on countable structures whose complexity can be measured within arithmetic; a forthcoming second volume will study structures beyond arithmetic.

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Page Count

214

Publisher

Cambridge University Press

Published Date

ISBN 10

1108534422

ISBN 13

9781108534420

Cyclostationary Processes and Time Series

Theory, Applications, and Generalizations

By: Antonio Napolitano

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Cyclostationary Processes and Time Series

Theory, Applications, and Generalizations

By: Antonio Napolitano

Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology. Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features. - Presents the foundations and developments of the second- and higher-order theory of cyclostationary signals - Performs signal analysis using both the classical stochastic process approach and the functional approach for time series - Provides applications in signal detection and estimation, filtering, parameter estimation, source location, modulation format classification, and biological signal characterization - Includes algorithms for cyclic spectral analysis along with Matlab/Octave code - Provides generalizations of the classical cyclostationary model in order to account for relative motion between transmitter and receiver and describe irregular statistical cyclicity in the data

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Page Count

628

Publisher

Academic Press

Published Date

ISBN 10

0081027370

ISBN 13

9780081027370

Ferrocenes

Homogeneous Catalysis, Organic Synthesis, Materials Science

By: Antonio Togni

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Ferrocenes

Homogeneous Catalysis, Organic Synthesis, Materials Science

By: Antonio Togni

With applications ranging from asymmetric catalysis to magnetic materials, ferrocene is one of the most versatile building blocks in synthesis. This book captures the multidisciplinary nature of ferrocene research, including topics such as ferrocene-containing polymers, ferrocene-containing thermotropic liquid crystals, chiral ferrocene derivatives, and ferrocene-containing charge-transfer materials. In addition, the reader will find * valuable information for planning syntheses * over 70 tables, making relevant data available at a glance * carefully selected references, providing an easy access to the primary literature Up-to-date, and written by leading international experts in the field, among them R. Deschenaux, C. D. Hall, Y. Butsugan, and R. Herrmann, this book is a welcome source of in-depth information for graduate students and professionals in organic, organometallic, and polymer chemistry, as well as in materials science.

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Page Count

560

Publisher

John Wiley & Sons

Published Date

ISBN 10

352761558X

ISBN 13

9783527615582

Notes on Hamiltonian Dynamical Systems

By: Antonio Giorgilli

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Notes on Hamiltonian Dynamical Systems

By: Antonio Giorgilli

Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.

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Page Count

473

Publisher

Cambridge University Press

Published Date

ISBN 10

1009151142

ISBN 13

9781009151146

Nonlinear Analysis and Semilinear Elliptic Problems

By: Antonio Ambrosetti,Andrea Malchiodi

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Nonlinear Analysis and Semilinear Elliptic Problems

By: Antonio Ambrosetti,Andrea Malchiodi

A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.

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334

Publisher

Cambridge University Press

Published Date

ISBN 10

0521863201

ISBN 13

9780521863209

Physical Components of Tensors

By: Wolf Altman,Antonio Marmo De Oliveira

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Physical Components of Tensors

By: Wolf Altman,Antonio Marmo De Oliveira

Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well. Comprised of five chapters, this noteworthy text: Deals with the basic concepts of linear algebra, introducing the vector spaces and the further structures imposed on them by the notions of inner products, norms, and metrics Focuses on the main algebraic operations for vectors and tensors and also on the notions of duality, tensor products, and component representation of tensors Presents the classical tensor calculus that functions as the advanced prerequisite for the development of subsequent chapters Provides the theory of physical and anholonomic components of tensors by associating them to the spaces of linear transformations and of tensor products and advances two applications of this theory Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics.

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Page Count

238

Publisher

CRC Press

Published Date

ISBN 10

1482263823

ISBN 13

9781482263824

Detection of Random Signals in Dependent Gaussian Noise

By: Antonio F. Gualtierotti

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Detection of Random Signals in Dependent Gaussian Noise

By: Antonio F. Gualtierotti

The book presents the necessary mathematical basis to obtain and rigorously use likelihoods for detection problems with Gaussian noise. To facilitate comprehension the text is divided into three broad areas – reproducing kernel Hilbert spaces, Cramér-Hida representations and stochastic calculus – for which a somewhat different approach was used than in their usual stand-alone context. One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberation-limited environment. Nonetheless, the general problems dealt with in the text also provide a useful framework for discussing other current research areas, such as wavelet decompositions, neural networks, and higher order spectral analysis. The structure of the book, with the exposition presenting as many details as necessary, was chosen to serve both those readers who are chiefly interested in the results and those who want to learn the material from scratch. Hence, the text will be useful for graduate students and researchers alike in the fields of engineering, mathematics and statistics.

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Page Count

1198

Publisher

Springer

Published Date

ISBN 10

3319223151

ISBN 13

9783319223155

Infrared Detectors

By: Antonio Rogalski

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Infrared Detectors

By: Antonio Rogalski

Infrared Detectors provides comprehensive coverage of this important aspect of infrared technology, including details of recent research efforts directed toward improving the performance of single element devices, large electronically scanned arrays, and higher operating temperatures. Discussions include HgCdTe detectors, Schottky barrier photoemissive devices, silicon, germanium, and InSb detectors, and quantum well infrared photodetectors. The author also considers IR thermal detectors, including details on phyroelectric detectors, micromachined silicon bolometers, and high Tc superconductor detectors.

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Page Count

710

Publisher

CRC Press

Published Date

ISBN 10

9056992031

ISBN 13

9789056992033

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