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Random sequential packing of cubes

Dutour Sikiric, Mathieu.

Random sequential packing of cubes

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Random sequential packing of cubesMathieu Dutour Sikiric, Yoshiaki Itoh.
作者:	Dutour Sikiric, Mathieu.
其他作者:	Itoh, Yoshiaki,
出版者:	Singapore ;World Scientific Pub. Co.,c2011.
面頁冊數:	xiii, 240 p. :ill.
標題:	Combinatorial packing and covering.
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/7777#t=toc
ISBN:	9789814307840 (electronic bk.)

Random sequential packing of cubes
Dutour Sikiric, Mathieu.

Random sequential packing of cubes[electronic resource] /Mathieu Dutour Sikiric, Yoshiaki Itoh. - Singapore ;World Scientific Pub. Co.,c2011. - xiii, 240 p. :ill.

Includes bibliographical references (p. 227-236) and index.

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.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2011.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814307840 (electronic bk.)Subjects--Topical Terms:

247279
Combinatorial packing and covering.

LC Class. No.: QA166.7

Dewey Class. No.: 511.6

Random sequential packing of cubes
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300 $a xiii, 240 p. : $b ill.
504 $a Includes bibliographical references (p. 227-236) and index.
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 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.
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650 0 $a Sphere packings. $3 467772
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