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A Toolbox Of Averaging Theorems


A Toolbox Of Averaging Theorems
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A Toolbox Of Averaging Theorems


A Toolbox Of Averaging Theorems
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Author : Ferdinand Verhulst
language : en
Publisher:
Release Date : 2023

A Toolbox Of Averaging Theorems written by Ferdinand Verhulst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.




A Toolbox Of Averaging Theorems


A Toolbox Of Averaging Theorems
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Author : Ferdinand Verhulst
language : en
Publisher: Springer Nature
Release Date : 2023-08-23

A Toolbox Of Averaging Theorems written by Ferdinand Verhulst and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-23 with Mathematics categories.


This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs). In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.



Advances In Nonlinear Dynamics And Control Of Mechanical And Physical Systems


Advances In Nonlinear Dynamics And Control Of Mechanical And Physical Systems
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Author : Mohamed Belhaq
language : en
Publisher: Springer Nature
Release Date :

Advances In Nonlinear Dynamics And Control Of Mechanical And Physical Systems written by Mohamed Belhaq and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Some Convergence Theorems In Averaging Theory Prep For A Series Of Lectures At The Dep Of Mathematics Chulalongkorn Univ Bangkok December 7 8 9 1971


Some Convergence Theorems In Averaging Theory Prep For A Series Of Lectures At The Dep Of Mathematics Chulalongkorn Univ Bangkok December 7 8 9 1971
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Author : Jean G. Dhombres
language : en
Publisher:
Release Date : 1971

Some Convergence Theorems In Averaging Theory Prep For A Series Of Lectures At The Dep Of Mathematics Chulalongkorn Univ Bangkok December 7 8 9 1971 written by Jean G. Dhombres and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




Some Convergence Theorems In Averaging Theory


Some Convergence Theorems In Averaging Theory
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Author : Jean G. Dhombres
language : en
Publisher:
Release Date : 1971

Some Convergence Theorems In Averaging Theory written by Jean G. Dhombres and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Approximation theory categories.




Computer Aided Proofs In Analysis


Computer Aided Proofs In Analysis
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Author : Kenneth R. Meyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computer Aided Proofs In Analysis written by Kenneth R. Meyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989. Each year the 19 Participating Institutions select, through a competitive process, several conferences proposals from the PIs, for partial funding. This conference brought together leading figures in a number of fields who were interested in finding exact answers to problems in analysis through computer methods. We thank Kenneth Meyer and Dieter Schmidt for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Since the dawn of the computer revolution the vast majority of scientific compu tation has dealt with finding approximate solutions of equations. However, during this time there has been a small cadre seeking precise solutions of equations and rigorous proofs of mathematical results. For example, number theory and combina torics have a long history of computer-assisted proofs; such methods are now well established in these fields. In analysis the use of computers to obtain exact results has been fragmented into several schools.



Kernel Mode Decomposition And The Programming Of Kernels


Kernel Mode Decomposition And The Programming Of Kernels
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Author : Houman Owhadi
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

Kernel Mode Decomposition And The Programming Of Kernels written by Houman Owhadi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.


This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.



Renormings In Banach Spaces


Renormings In Banach Spaces
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Author : Antonio José Guirao
language : en
Publisher: Springer Nature
Release Date : 2022-08-23

Renormings In Banach Spaces written by Antonio José Guirao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.


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.



Algorithms And Data Structures


Algorithms And Data Structures
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Author : Kurt Mehlhorn
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-27

Algorithms And Data Structures written by Kurt Mehlhorn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-27 with Computers categories.


Algorithms are at the heart of every nontrivial computer application, and algorithmics is a modern and active area of computer science. Every computer scientist and every professional programmer should know about the basic algorithmic toolbox: structures that allow efficient organization and retrieval of data, frequently used algorithms, and basic techniques for modeling, understanding and solving algorithmic problems. This book is a concise introduction addressed to students and professionals familiar with programming and basic mathematical language. Individual chapters cover arrays and linked lists, hash tables and associative arrays, sorting and selection, priority queues, sorted sequences, graph representation, graph traversal, shortest paths, minimum spanning trees, and optimization. The algorithms are presented in a modern way, with explicitly formulated invariants, and comment on recent trends such as algorithm engineering, memory hierarchies, algorithm libraries and certifying algorithms. The authors use pictures, words and high-level pseudocode to explain the algorithms, and then they present more detail on efficient implementations using real programming languages like C++ and Java. The authors have extensive experience teaching these subjects to undergraduates and graduates, and they offer a clear presentation, with examples, pictures, informal explanations, exercises, and some linkage to the real world. Most chapters have the same basic structure: a motivation for the problem, comments on the most important applications, and then simple solutions presented as informally as possible and as formally as necessary. For the more advanced issues, this approach leads to a more mathematical treatment, including some theorems and proofs. Finally, each chapter concludes with a section on further findings, providing views on the state of research, generalizations and advanced solutions.



Computational Complexity


Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20

Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.


New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.