Random sequential packing of cubes /:
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-d...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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World Scientific,
©2011.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 ... |
| Beschreibung: | 1 online resource (xiii, 240 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814307840 981430784X |
Internformat
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| 520 | |a 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 ... | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
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| 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. |
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| spelling | Dutour Sikirić, Mathieu. https://id.oclc.org/worldcat/entity/E39PCjCKTJG6w6gwgf7vBFDXV3 http://id.loc.gov/authorities/names/nb2008013894 Random sequential packing of cubes / Mathieu Dutour Sikirić, Yoshiaki Itoh. New Jersey : World Scientific, ©2011. 1 online resource (xiii, 240 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier 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 ... Includes bibliographical references and index. Print version record. 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. Combinatorial packing and covering. http://id.loc.gov/authorities/subjects/sh85028810 Sphere packings. http://id.loc.gov/authorities/subjects/sh2001008315 Pavage et remplissage (Géométrie combinatoire) Empilements de sphères. MATHEMATICS Combinatorics. bisacsh Combinatorial packing and covering fast Sphere packings fast Itoh, Yoshiaki, 1943- https://id.oclc.org/worldcat/entity/E39PCjDrJwxkmmGCkb8Pm6Mc6C http://id.loc.gov/authorities/names/n2010046053 has work: Random sequential packing of cubes (Text) https://id.oclc.org/worldcat/entity/E39PCGPhkvxTCG9KpYYyXfDCkP https://id.oclc.org/worldcat/ontology/hasWork Print version: Dutour Sikirić, Mathieu. Random sequential packing of cubes. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814307833 (DLC) 2010027617 (OCoLC)587219915 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373227 Volltext |
| spellingShingle | Dutour Sikirić, Mathieu Random sequential packing of cubes / 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. Combinatorial packing and covering. http://id.loc.gov/authorities/subjects/sh85028810 Sphere packings. http://id.loc.gov/authorities/subjects/sh2001008315 Pavage et remplissage (Géométrie combinatoire) Empilements de sphères. MATHEMATICS Combinatorics. bisacsh Combinatorial packing and covering fast Sphere packings fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85028810 http://id.loc.gov/authorities/subjects/sh2001008315 |
| title | Random sequential packing of cubes / |
| title_auth | Random sequential packing of cubes / |
| title_exact_search | Random sequential packing of cubes / |
| title_full | Random sequential packing of cubes / Mathieu Dutour Sikirić, Yoshiaki Itoh. |
| title_fullStr | Random sequential packing of cubes / Mathieu Dutour Sikirić, Yoshiaki Itoh. |
| title_full_unstemmed | Random sequential packing of cubes / Mathieu Dutour Sikirić, Yoshiaki Itoh. |
| title_short | Random sequential packing of cubes / |
| title_sort | random sequential packing of cubes |
| topic | Combinatorial packing and covering. http://id.loc.gov/authorities/subjects/sh85028810 Sphere packings. http://id.loc.gov/authorities/subjects/sh2001008315 Pavage et remplissage (Géométrie combinatoire) Empilements de sphères. MATHEMATICS Combinatorics. bisacsh Combinatorial packing and covering fast Sphere packings fast |
| topic_facet | Combinatorial packing and covering. Sphere packings. Pavage et remplissage (Géométrie combinatoire) Empilements de sphères. MATHEMATICS Combinatorics. Combinatorial packing and covering Sphere packings |
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