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Titlebook: Discrete Energy on Rectifiable Sets; Sergiy V. Borodachov,Douglas P. Hardin,Edward B. S Book 2019 Springer Science+Business Media, LLC, pa

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書目名稱Discrete Energy on Rectifiable Sets
編輯Sergiy V. Borodachov,Douglas P. Hardin,Edward B. S
視頻videohttp://file.papertrans.cn/282/281095/281095.mp4
概述Subject matter connects several different branches of mathematics and has myriad applications to the physical and biological sciences.Book is rich with attractive, full color images.Self-contained boo
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Discrete Energy on Rectifiable Sets; Sergiy V. Borodachov,Douglas P. Hardin,Edward B. S Book 2019 Springer Science+Business Media, LLC, pa
描述.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 R.d.. It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein linearprogramming 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 a
出版日期Book 2019
關(guān)鍵詞Discretization; Energy Asymptotics; Equilibrium Distributions; Minimum Energy Approach; Riesz Kernels; Ri
版次1
doihttps://doi.org/10.1007/978-0-387-84808-2
isbn_ebook978-0-387-84808-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2019
The information of publication is updating

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Incompressible flow relationshipse also estimate the minimal pairwise separation of an .-point .-energy minimizing configuration on a path connected compact set. Section . introduces the general best-covering problem and discusses the basic relationship between best-packing distance and mesh ratio on a given compact set.
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Water Science and Technology Libraryconditionally). Such sums represent the energy required to place a unit charge at . in the presence of unit charges located on . with pairwise interactions given by .. In this section, we also define and relate several notions of energy related to these periodic potentials.
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Some Popular Algorithms for Distributing Points on ,points, icosahedral points, cubed sphere nodes, Hammersley nodes, minimizing Coulomb and logarithmic energy points, radial icosahedral points, equal-area icosahedral nodes, maximal determinant nodes, and random points.
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Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants,at . due to an injector of the substance located at ., what is the smallest number of like injectors and their optimal locations on . so that a prescribed minimal amount of the substance reaches every point of .?
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Introduction to Best-Packing and Best-Covering,e also estimate the minimal pairwise separation of an .-point .-energy minimizing configuration on a path connected compact set. Section . introduces the general best-covering problem and discusses the basic relationship between best-packing distance and mesh ratio on a given compact set.
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