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Combinatorial Complexity Bounds for Arrangements of Curves and Surfaces (Classic Reprint) - Softcover

 
9781333690045: Combinatorial Complexity Bounds for Arrangements of Curves and Surfaces (Classic Reprint)

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This book explores combinatorial distance problems for finite point sets, an intriguing area of mathematical research with a rich history dating back to the 40s. The author presents upper and lower bounds for extremal problems defined for arrangements of lines, circles, spheres and similar curves and surfaces, extending previous results in exciting new ways. The book stands out for its clever adaptations of probabilistic counting, Davenport-Schinzel sequences, and elegant geometric and topological arguments. Ultimately, it sheds new light on the interplay between combinatorial arrangements and the distances between objects, offering valuable insights for further research in discrete and computational geometry.

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Kenneth L. Clarkson, Herbert Edelsbrunner
Published by Forgotten Books, 2018
ISBN 10: 1333690045 ISBN 13: 9781333690045
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Paperback. Condition: New. Print on Demand. This book explores combinatorial distance problems for finite point sets, an intriguing area of mathematical research with a rich history dating back to the 40s. The author presents upper and lower bounds for extremal problems defined for arrangements of lines, circles, spheres and similar curves and surfaces, extending previous results in exciting new ways. The book stands out for its clever adaptations of probabilistic counting, Davenport-Schinzel sequences, and elegant geometric and topological arguments. Ultimately, it sheds new light on the interplay between combinatorial arrangements and the distances between objects, offering valuable insights for further research in discrete and computational geometry. 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 # 9781333690045_0

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Kenneth L. Clarkson
Published by Forgotten Books, 2018
ISBN 10: 1333690045 ISBN 13: 9781333690045
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333690045

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Kenneth L. Clarkson
Published by Forgotten Books, 2018
ISBN 10: 1333690045 ISBN 13: 9781333690045
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom

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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333690045

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