Discrete Energy On Rectifiable Sets


Discrete Energy On Rectifiable Sets
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Discrete Energy On Rectifiable Sets


Discrete Energy On Rectifiable Sets
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Author : Sergiy V. Borodachov
language : en
Publisher: Springer Nature
Release Date : 2019-10-31

Discrete Energy On Rectifiable Sets written by Sergiy V. Borodachov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Mathematics categories.


This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of preliminaries and an extensive Appendix that augments a course in Real Analysis and makes the text self-contained. Along with numerous attractive full-color images, the exposition conveys the beauty of the subject and its connection to several branches of mathematics, computational methods, and physical/biological applications. This work is destined to be a valuable research resource for such topics as packing and covering problems, generalizations of the famous Thomson Problem, and classical potential theory in Rd. It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein linear programming methods for lower bounding energy, a thorough treatment of Cohn–Kumar universality, and a comparison of 'popular methods' for uniformly distributing points on the two-dimensional sphere. Some unique features of the work are its treatment of Gauss-type kernels for periodic energy problems, its asymptotic analysis of minimizing point configurations for non-integrable Riesz potentials (the so-called Poppy-seed bagel theorems), its applications to the generation of non-structured grids of prescribed densities, and its closing chapter on optimal discrete measures for Chebyshev (polarization) problems.



Rectifiability


Rectifiability
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Author : Pertti Mattila
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-12

Rectifiability written by Pertti Mattila 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 2023-01-12 with Mathematics categories.


A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.



Recent Advances In Orthogonal Polynomials Special Functions And Their Applications


Recent Advances In Orthogonal Polynomials Special Functions And Their Applications
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Author : Jorge Arvesœ
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-09-11

Recent Advances In Orthogonal Polynomials Special Functions And Their Applications written by Jorge Arvesœ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-11 with Mathematics categories.


This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.



Applications Of Evolutionary Computation


Applications Of Evolutionary Computation
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Author : Stephen Smith
language : en
Publisher: Springer Nature
Release Date :

Applications Of Evolutionary Computation written by Stephen Smith 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.




Advances In Computational Intelligence


Advances In Computational Intelligence
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Author : Ildar Batyrshin
language : en
Publisher: Springer Nature
Release Date : 2021-10-20

Advances In Computational Intelligence written by Ildar Batyrshin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-20 with Computers categories.


The two-volume set LNAI 13067 and 13068 constitutes the proceedings of the 20th Mexican International Conference on Artificial Intelligence, MICAI 2021, held in Mexico City, Mexico, in October 2021. The total of 58 papers presented in these two volumes was carefully reviewed and selected from 129 submissions. The first volume, Advances in Computational Intelligence, contains 30 papers structured into three sections: – Machine and Deep Learning – Image Processing and Pattern Recognition – Evolutionary and Metaheuristic Algorithms The second volume, Advances in Soft Computing, contains 28 papers structured into two sections: – Natural Language Processing – Intelligent Applications and Robotics



Research In Computer Science In The Bulgarian Academy Of Sciences


Research In Computer Science In The Bulgarian Academy Of Sciences
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer Nature
Release Date : 2021-07-19

Research In Computer Science In The Bulgarian Academy Of Sciences written by Krassimir T. Atanassov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Technology & Engineering categories.


This book is a collection of papers devoted to the emergence and development in Bulgarian Academy of Sciences of some of the areas of informatics, including artificial intelligence. The papers are prepared by specialists from the Academy, some of whom are among the founders of these scientific and application areas in Bulgaria and in some cases – in the world. The book is interesting for specialists in informatics and computer science and researchers in history of sciences.



Modern Trends In Constructive Function Theory


Modern Trends In Constructive Function Theory
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Author : E. B. Saff
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-03-31

Modern Trends In Constructive Function Theory written by E. B. Saff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Approximation theory categories.


This volume contains the proceedings of the conference Constructive Functions 2014, held from May 26-30, 2014, at Vanderbilt University, Nashville, TN, in honor of Ed Saff's 70th birthday. The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer $G$-function, polynomial ensembles, and integer lattice points.



Machine Learning And Knowledge Discovery In Databases Applied Data Science And Demo Track


Machine Learning And Knowledge Discovery In Databases Applied Data Science And Demo Track
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Author : Gianmarco De Francisci Morales
language : en
Publisher: Springer Nature
Release Date :

Machine Learning And Knowledge Discovery In Databases Applied Data Science And Demo Track written by Gianmarco De Francisci Morales 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.




Random Matrices


Random Matrices
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Author : Alexei Borodin
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-10-30

Random Matrices written by Alexei Borodin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Education categories.


Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology, ecology, engineering, and operations research. This book provides a snippet of this vast domain of study, with a particular focus on the notations of universality and integrability. Universality shows that many systems behave the same way in their large scale limit, while integrability provides a route to describe the nature of those universal limits. Many of the ten contributed chapters address these themes, while others touch on applications of tools and results from random matrix theory. This book is appropriate for graduate students and researchers interested in learning techniques and results in random matrix theory from different perspectives and viewpoints. It also captures a moment in the evolution of the theory, when the previous decade brought major break-throughs, prompting exciting new directions of research.



Applied Algebra And Number Theory


Applied Algebra And Number Theory
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Author : Gerhard Larcher
language : en
Publisher: Cambridge University Press
Release Date : 2014-12-11

Applied Algebra And Number Theory written by Gerhard Larcher 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 2014-12-11 with Mathematics categories.


This book contains survey articles on modern topics related to the work of Harald Niederreiter, written by close colleagues and leading experts.