Random sequential packing of cubes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
©2011
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 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 |
| Beschreibung: | 1 Online-Ressource (xiii, 240 pages) |
| ISBN: | 9789814307840 981430784X |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043118696 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2011 |||| o||u| ||||||eng d | ||
| 020 | |a 9789814307840 |c electronic bk. |9 978-981-4307-84-0 | ||
| 020 | |a 981430784X |c electronic bk. |9 981-4307-84-X | ||
| 035 | |a (OCoLC)733047773 | ||
| 035 | |a (DE-599)BVBBV043118696 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 511/.6 |2 22 | |
| 100 | 1 | |a Dutour Sikirić, Mathieu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Random sequential packing of cubes |c Mathieu Dutour Sikirić, Yoshiaki Itoh |
| 264 | 1 | |a New Jersey |b World Scientific |c ©2011 | |
| 300 | |a 1 Online-Ressource (xiii, 240 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |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 .. | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |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 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Combinatorics |2 bisacsh | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Combinatorial packing and covering | |
| 650 | 4 | |a Sphere packings | |
| 650 | 0 | 7 | |a Packungsproblem |0 (DE-588)4173057-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Würfel |0 (DE-588)4079396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Würfel |0 (DE-588)4079396-5 |D s |
| 689 | 0 | 1 | |a Packungsproblem |0 (DE-588)4173057-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Itoh, Yoshiaki |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-981-4307-83-3 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 981-4307-83-1 |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028542886 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175545859047424 |
|---|---|
| any_adam_object | |
| author | Dutour Sikirić, Mathieu |
| author_facet | Dutour Sikirić, Mathieu |
| author_role | aut |
| author_sort | Dutour Sikirić, Mathieu |
| author_variant | s m d sm smd |
| building | Verbundindex |
| bvnumber | BV043118696 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)733047773 (DE-599)BVBBV043118696 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03356nmm a2200529zc 4500</leader><controlfield tag="001">BV043118696</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2011 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814307840</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-4307-84-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">981430784X</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">981-4307-84-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)733047773</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043118696</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.6</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dutour Sikirić, Mathieu</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Random sequential packing of cubes</subfield><subfield code="c">Mathieu Dutour Sikirić, Yoshiaki Itoh</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey</subfield><subfield code="b">World Scientific</subfield><subfield code="c">©2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 240 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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 ..</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Combinatorics</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial packing and covering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sphere packings</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Packungsproblem</subfield><subfield code="0">(DE-588)4173057-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Würfel</subfield><subfield code="0">(DE-588)4079396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Würfel</subfield><subfield code="0">(DE-588)4079396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Packungsproblem</subfield><subfield code="0">(DE-588)4173057-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Itoh, Yoshiaki</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-981-4307-83-3</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">981-4307-83-1</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028542886</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043118696 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:00Z |
| institution | BVB |
| isbn | 9789814307840 981430784X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028542886 |
| oclc_num | 733047773 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 240 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Dutour Sikirić, Mathieu Verfasser aut Random sequential packing of cubes Mathieu Dutour Sikirić, Yoshiaki Itoh New Jersey World Scientific ©2011 1 Online-Ressource (xiii, 240 pages) txt rdacontent c rdamedia 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 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 Mathematics MATHEMATICS / Combinatorics bisacsh Mathematik Combinatorial packing and covering Sphere packings Packungsproblem (DE-588)4173057-4 gnd rswk-swf Würfel (DE-588)4079396-5 gnd rswk-swf Würfel (DE-588)4079396-5 s Packungsproblem (DE-588)4173057-4 s 1\p DE-604 Itoh, Yoshiaki Sonstige oth Erscheint auch als Druckausgabe 978-981-4307-83-3 Erscheint auch als Druckausgabe 981-4307-83-1 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dutour Sikirić, Mathieu Random sequential packing of cubes Mathematics MATHEMATICS / Combinatorics bisacsh Mathematik Combinatorial packing and covering Sphere packings Packungsproblem (DE-588)4173057-4 gnd Würfel (DE-588)4079396-5 gnd |
| subject_GND | (DE-588)4173057-4 (DE-588)4079396-5 |
| 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 | Mathematics MATHEMATICS / Combinatorics bisacsh Mathematik Combinatorial packing and covering Sphere packings Packungsproblem (DE-588)4173057-4 gnd Würfel (DE-588)4079396-5 gnd |
| topic_facet | Mathematics MATHEMATICS / Combinatorics Mathematik Combinatorial packing and covering Sphere packings Packungsproblem Würfel |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373227 |
| work_keys_str_mv | AT dutoursikiricmathieu randomsequentialpackingofcubes AT itohyoshiaki randomsequentialpackingofcubes |