| Description |
1 online resource (xiii, 240 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Summary |
In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to ... |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Preface; Contents; 1. Introduction; 2. The Flory model; 3. Random interval packing; 4. On the minimum of gaps generated by 1-dimensional random packing; 5. Integral equation method for the 1-dimensional random packing; 6. Random sequential bisection and its associated binary tree; 7. The unified Kakutani Renyi model; 8. Parking cars with spin but no length; 9. Random sequential packing simulations; 10. Discrete cube packings in the cube; 11. Discrete cube packings in the torus; 12. Continuous random cube packings in cube and torus; Appendix A Combinatorial Enumeration; Bibliography; Index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Combinatorial packing and covering.
|
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Combinatorial packing and covering. |
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Sphere packings.
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Sphere packings. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Itoh, Yoshiaki, 1943-
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| Other Form: |
Print version: Dutour Sikirić, Mathieu. Random sequential packing of cubes. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814307833 (DLC) 2010027617 (OCoLC)587219915 |
| ISBN |
9789814307840 (electronic book) |
|
981430784X (electronic book) |
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9789814307833 (hardcover ; alkaline paper) |
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9814307831 (hardcover ; alkaline paper) |
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