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Robotics Research Technical Report: Common Tangents and Common Transversals (Classic Reprint) - Softcover

 
9781332087990: Robotics Research Technical Report: Common Tangents and Common Transversals (Classic Reprint)

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Excerpt from Robotics Research Technical Report: Common Tangents and Common Transversals
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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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  • PublisherForgotten Books
  • Publication date2024
  • ISBN 10 133208799X
  • ISBN 13 9781332087990
  • BindingPaperback
  • LanguageEnglish
  • Number of pages27

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9780332994383: Robotics Research Technical Report: Common Tangents and Common Transversals (Classic Reprint)

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ISBN 10:  0332994384 ISBN 13:  9780332994383
Publisher: Forgotten Books, 2018
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ISBN 10: 133208799X ISBN 13: 9781332087990
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Paperback. Condition: New. Print on Demand. This book explores the topological structure of common tangent hyperplanes to separated convex sets in Rd, demonstrating that under certain conditions the space of such hyperplanes is homeomorphic to a sphere of dimension d â" k. The author, a leading expert in computational geometry, then exploits this result to derive sharp bounds on the complexity of the space of all common transversal hyperplanes to a given family of separated convex sets in Rd. The book provides a unique and in-depth analysis of the combinatorial structure of the space of common transversals, extending previous results known in lower-dimensional cases. It also presents an efficient algorithm for determining the space of common transversals if the convex sets are polytopal or have sufficiently simple boundaries. The insights provided in this book are significant for understanding the geometric relationships between convex sets and have applications in areas such as motion planning, robotics, and computational geometry. The author's clear and concise presentation makes this book accessible to researchers and graduate students in mathematics, computer science, and related fields. 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 # 9781332087990_0

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Published by Forgotten Books, 2018
ISBN 10: 133208799X ISBN 13: 9781332087990
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