Random Sequential Packing of Cubes

Kort om boken

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 (…

Oppdag mer

Velg tagger...
Spar {0}
Spar {0} som ARK-VENN
{0} til nettpris
med Klikk&Hent
Format/språk
   Klikk og hent - få varen innen 2 timer*
   Alltid bytterett - Norges beste. Bytt uten kvittering.
* Gjelder varer på lager i butikk

    Om 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-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.Contents: The Flory ModelRandom Interval PackingOn the Minimum of Gaps Generated by 1- Dimensional Random PackingIntegral Equation Method for the 1-Dimensional Random PackingRandom Sequential Bisection and Its Associated Binary TreeThe Unified Kakutani Rényi ModelParking Cars with Spin But No LengthRandom Sequential Packing SimulationsDiscrete Cube Packings in the CubeDiscrete Cube Packings in the TorusContinuous Random Cube Packings in Cube and TorusAppendix: Combinatorial EnumerationReadership: Researchers in probability and statistics, combinatorics and graph theory, analysis & differential equations, coding theory and cryptography.

    Kundevurderinger

    Totalvurdering: 

    Gi din vurdering: 
    Totalvurdering: 

    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2011
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789814307840
    Sider
    256

    Anbefalt