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Synopsis
This book extends the insights of k-sets and (S k)-sets in relation to curve and surface arrangements. Rooted in the disciplines of geometry and computer science, the book expands the understanding of k-set behavior when applied to curves uniquely separating a plane from arrangements of curves and surfaces. Starting with the basic definitions and established bounds of these sets, the author explores three specific cases with novel findings. The author adapts the probabilistic analysis technique of Clarkson to ascertain relationships between the maximum size of the (S k)-set and the maximum size of a 0-set in a sample of curves, ultimately yielding more precise bounds. The book concludes with a variety of significant applications of the established bounds to problems in computer science such as sparse coverings, placements of convex objects amidst convex obstacles, and various arrangements of segments and curves. Overall, this book offers a significant contribution to the understanding of k-sets and (S k)-sets, presenting novel theoretical insights with valuable practical applications.
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book extends the insights of k-sets and (S k)-sets in relation to curve and surface arrangements. Rooted in the disciplines of geometry and computer science, the book expands the understanding of k-set behavior when applied to curves uniquely separating a plane from arrangements of curves and surfaces. Starting with the basic definitions and established bounds of these sets, the author explores three specific cases with novel findings. The author adapts the probabilistic analysis technique of Clarkson to ascertain relationships between the maximum size of the (S k)-set and the maximum size of a 0-set in a sample of curves, ultimately yielding more precise bounds. The book concludes with a variety of significant applications of the established bounds to problems in computer science such as sparse coverings, placements of convex objects amidst convex obstacles, and various arrangements of segments and curves. Overall, this book offers a significant contribution to the understanding of k-sets and (S k)-sets, presenting novel theoretical insights with valuable practical applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780243090495_0
Quantity: Over 20 available
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780243090495
Quantity: 15 available
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780243090495
Quantity: 15 available