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Book synopsis

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 the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.

Book details

Book category Books in English Mathematics & science Mathematics Combinatorics & graph theory

• Full title: Random Sequential Packing Of Cubes
• Author: Mathieu Dutour Sikiric, Yoshiaki Itoh
• Language: English
• Binding: Hardback
• Number of pages: 256
• EAN: 9789814307833
• ISBN: 9814307831
• ID: 05070162
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 508 g
• Dimensions: 230 × 158 × 19 mm
• Date of publishing: 26. January 2011

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