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The paper is organized as follows. In Section 2 we present the proofs of Theorems and discuss some further generalizations of the problem. In Section 3 we will present a variety of applications of our bounds to higher order Voronoi diagrams, partial stabbing of disjoint convex sets in the plane, 'zsparse coverings of the plane.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from On K-Sets in Arrangements of Curves and Surfaces
The paper is organized as follows. In Section 2 we present the proofs of Theorems and discuss some further generalizations of the problem. In Section 3 we will present a variety of applications of our bounds to higher order Voronoi diagrams, partial stabbing of disjoint convex sets in the plane, 'zsparse coverings of the plane.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9780243090495
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9780243090495
Anzahl: 15 verfügbar
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On K-Sets in Arrangements of Curves and Surfaces (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9780243090495_0
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