How to Move a Chair Through a Door Classic Reprint
Chee K. Yap
ISBN 10: 1332141552 ISBN 13: 9781332141555
Verlag: Forgotten Books, 2019
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New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332141555
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Excerpt from How to Move a Chair Through a Door
To move a given chair through a door, a natural question is how wide the door should be. The minimum width of a passable door is called the width of the chair. The question was first raised by Gilbert Strang [str82] who studied the case of convex chairs in two and three dimensions.' We focus on the polygonal chairs in this paper but allow non-convex chairs. Although the notion of width for convex chairs is easily captured, the width of non-convex chairs admits several reasonable interpretations. We will note three possibilities in this paper.
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Titel: How to Move a Chair Through a Door Classic ...
Verlag: Forgotten Books
Erscheinungsdatum: 2019
Einband: PAP
Zustand: New
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How to Move a Chair Through a Door (Classic Reprint)
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Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Bestandsnummer des Verkäufers 26062229/1
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How to Move a Chair Through a Door (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book explores how to solve motion-planning problems in robotics, where a robot must plan its movements to navigate around obstacles in its environment. The focus of this book is on one specific type of motion-planning problem, known as the door-width problem. The door-width problem asks how wide a door must be for a given robot to pass through it. The author develops an algorithm that can compute the door-width of a robot in O(n^2) time, where n is the number of vertices in the robot's polygonal representation. This algorithm is optimal among algorithms that must construct a graph of size O(n^3). The author also discusses several other related problems, such as the ring-width problem and the elastic width problem. These problems ask how wide a ring or an elastic band must be for a robot to pass through it. The author concludes by discussing the significance of these insights on the broader field of motion planning. 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 9781332141555_0
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How to Move a Chair Through a Door Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332141555
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