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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dutour Sikirić, Mathieu
Otros Autores: Itoh, Yoshiaki, 1943-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, ©2011.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Random sequential packing of cubes /  |c Mathieu Dutour Sikirić, Yoshiaki Itoh. 
260 |a New Jersey :  |b World Scientific,  |c ©2011. 
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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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650 0 |a Combinatorial packing and covering. 
650 0 |a Sphere packings. 
650 6 |a Pavage et remplissage (Géométrie combinatoire) 
650 6 |a Empilements de sphères. 
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