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Analysis At Large

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Analysis At Large

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Author : Artur Avila
language : en
Publisher: Springer
Release Date : 2023-11-02

Analysis At Large written by Artur Avila and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-02 with Mathematics categories.

Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékopa-Leindler inequality and sumsets with quasicubes, the fractal uncertainty principle for the Walsh-Fourier transform, the continuous formulation of shallow neural networks as Wasserstein-type gradient flows, logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators, polynomial equations in subgroups, trace sets of restricted continued fraction semigroups, exponential sums, twisted multiplicativity and moments, the ternary Goldbach problem, as well as the multiplicative group generated by two primes in Z/QZ. It is hoped that this volume will inspire further research in the areas of analysis treated in this book and also provide direction and guidance for upcoming developments in this essential subject of mathematics.

Analysis Of Large And Complex Data

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Author : Adalbert F.X. Wilhelm
language : en
Publisher: Springer
Release Date : 2016-08-03

Analysis Of Large And Complex Data written by Adalbert F.X. Wilhelm and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-03 with Computers categories.

This book offers a snapshot of the state-of-the-art in classification at the interface between statistics, computer science and application fields. The contributions span a broad spectrum, from theoretical developments to practical applications; they all share a strong computational component. The topics addressed are from the following fields: Statistics and Data Analysis; Machine Learning and Knowledge Discovery; Data Analysis in Marketing; Data Analysis in Finance and Economics; Data Analysis in Medicine and the Life Sciences; Data Analysis in the Social, Behavioural, and Health Care Sciences; Data Analysis in Interdisciplinary Domains; Classification and Subject Indexing in Library and Information Science. The book presents selected papers from the Second European Conference on Data Analysis, held at Jacobs University Bremen in July 2014. This conference unites diverse researchers in the pursuit of a common topic, creating truly unique synergies in the process.

Spectral Analysis Of Large Dimensional Random Matrices

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Author : Zhidong Bai
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-10

Spectral Analysis Of Large Dimensional Random Matrices written by Zhidong Bai 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 2009-12-10 with Mathematics categories.

The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as the semicircular law of Wigner matrices, the Marcenko-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions, central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematical tools, among them being: truncation techniques, matrix identities, moment convergence theorems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginning researchers, having a basic knowledge of matrix theory and an understanding of probability theory at the graduate level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailed handbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one on the authors' results on the limiting behavior of eigenvectors of sample covariance matrices, another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of other areas which are typically considered part of the general field of random matrix theory.

Analysis At Large

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Author : Artur Avila
language : en
Publisher: Springer Nature
Release Date : 2022-11-01

Analysis At Large written by Artur Avila and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with Mathematics categories.

Advanced Statistical Methods For The Analysis Of Large Data Sets

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Author : Agostino Di Ciaccio
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-05

Advanced Statistical Methods For The Analysis Of Large Data Sets written by Agostino Di Ciaccio 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 2012-03-05 with Mathematics categories.

The theme of the meeting was “Statistical Methods for the Analysis of Large Data-Sets”. In recent years there has been increasing interest in this subject; in fact a huge quantity of information is often available but standard statistical techniques are usually not well suited to managing this kind of data. The conference serves as an important meeting point for European researchers working on this topic and a number of European statistical societies participated in the organization of the event. The book includes 45 papers from a selection of the 156 papers accepted for presentation and discussed at the conference on “Advanced Statistical Methods for the Analysis of Large Data-sets.”

Realtime Analysis Of Large Scale Data

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Author : Becker, Daniel
language : en
Publisher: KIT Scientific Publishing
Release Date : 2017-04-03

Realtime Analysis Of Large Scale Data written by Becker, Daniel and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-03 with categories.

Qualitative Analysis Of Large Scale Dynamical Systems

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Author : Michel
language : en
Publisher: Academic Press
Release Date : 1977-08-24

Qualitative Analysis Of Large Scale Dynamical Systems written by Michel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-08-24 with Computers categories.

This book develops a unified approach to qualitative analysis of large scale systems described by many diversified types of equations.

Design And Analysis Of Large Lithium Ion Battery Systems

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Author : Shriram Santhanagopalan
language : en
Publisher: Artech House
Release Date : 2014-12-01

Design And Analysis Of Large Lithium Ion Battery Systems written by Shriram Santhanagopalan and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-01 with Technology & Engineering categories.

This new resource provides you with an introduction to battery design and test considerations for large-scale automotive, aerospace, and grid applications. It details the logistics of designing a professional, large, Lithium-ion battery pack, primarily for the automotive industry, but also for non-automotive applications. Topics such as thermal management for such high-energy and high-power units are covered extensively, including detailed design examples. Every aspect of battery design and analysis is presented from a hands-on perspective. The authors work extensively with engineers in the field and this book is a direct response to frequently-received queries. With the authors’ unique expertise in areas such as battery thermal evaluation and design, physics-based modeling, and life and reliability assessment and prediction, this book is sure to provide you with essential, practical information on understanding, designing, and building large format Lithium-ion battery management systems.

Heuristic Analysis Of Large Trees As Generated In The Game Of Go

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Author : Jonathan Leonard Ryder
language : en
Publisher:
Release Date : 1971

Heuristic Analysis Of Large Trees As Generated In The Game Of Go written by Jonathan Leonard Ryder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Algorithms categories.

The Japanese game of Go is of interest both as a problem in mathematical representation and as a game which generates a move tree with an extraordinarily high branching factor (100 to 300 branches per ply). The complexity of Go (and the difficulty of Go for human players) is thought to be considerably greater than that of chess. The constraints of being able to play a complete game and of being able to produce a move with a moderate amount of processing time were placed on the solution. The basic approach used was to find methods for isolating and exploring several sorts of relevant subsections of the global game tree. This process depended heavily on the ability to define and manipulate entitles of Go as recursive functions rather than as patterns of stones. A general machine-accessible theory of Go was developed to provide context for program evaluations. A program for playing Go is now available on the Stanford PDP-10 computer. (Modified author abstract).

Complex Quantum Systems Analysis Of Large Coulomb Systems

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Author : Heinz Siedentop
language : en
Publisher: World Scientific
Release Date : 2013-05-20

Complex Quantum Systems Analysis Of Large Coulomb Systems written by Heinz Siedentop and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Science categories.

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.

Analysis At Large

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