The Discrepancy Method pdf epub mobi txt 电子书 下载 2024


The Discrepancy Method

简体网页||繁体网页
Bernard Chazelle
Cambridge University Press
2001-12-15
494
USD 51.00
Paperback
9780521003575

图书标签: 计算机科学  算法  数学  mathematics   


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发表于2024-11-07

The Discrepancy Method epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

The Discrepancy Method epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

The Discrepancy Method pdf epub mobi txt 电子书 下载 2024



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The discrepancy method is the glue that binds randomness and complexity. It is the bridge between randomized computation and discrepancy theory, the area of mathematics concerned with irregularities in distributions. The discrepancy method has played a major role in complexity theory; in particular, it has caused a mini-revolution of sorts in computational geometry. This book tells the story of the discrepancy method in a few short independent vignettes. It is a varied tale which includes such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on the sphere and modular forms, derandomization, convex hulls, Voronoi diagrams, linear programming and extensions, geometric sampling, VC-dimension theory, minimum spanning trees, linear circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained. In particular, background material in discrepancy theory is supplied as needed. Thus the book should appeal to students and researchers in computer science, operations research, pure and applied mathematics, and engineering.

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