The shoelace book: a mathematical guide to the best (and worst) ways to lace your shoes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Math.l Soc.
2006
|
| Schriftenreihe: | Mathematical world
24 |
| Schlagworte: | |
| Online-Zugang: | Table of contents only Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 121-122) and index |
| Beschreibung: | X, 125 S. Ill., graph. Darst. 26 cm |
| ISBN: | 0821839330 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021823696 | ||
| 003 | DE-604 | ||
| 005 | 20061218 | ||
| 007 | t | ||
| 008 | 061123s2006 xxuad|| |||| 00||| eng d | ||
| 010 | |a 2006040733 | ||
| 015 | |a GBA652885 |2 dnb | ||
| 020 | |a 0821839330 |c softcover : alk. paper |9 0-8218-3933-0 | ||
| 035 | |a (OCoLC)64084950 | ||
| 035 | |a (DE-599)BVBBV021823696 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-20 |a DE-355 | ||
| 050 | 0 | |a QA99 | |
| 082 | 0 | |a 510 | |
| 084 | |a SN 100 |0 (DE-625)143330: |2 rvk | ||
| 100 | 1 | |a Polster, Burkard |d 1965- |e Verfasser |0 (DE-588)113535384 |4 aut | |
| 245 | 1 | 0 | |a The shoelace book |b a mathematical guide to the best (and worst) ways to lace your shoes |c Burkard Polster |
| 264 | 1 | |a Providence, R.I. |b American Math.l Soc. |c 2006 | |
| 300 | |a X, 125 S. |b Ill., graph. Darst. |c 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical world |v 24 | |
| 500 | |a Includes bibliographical references (p. 121-122) and index | ||
| 650 | 4 | |a Lacets - Mathématiques | |
| 650 | 4 | |a Mathématiques - Miscellanées | |
| 650 | 4 | |a Optimisation combinatoire | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |v Miscellanea | |
| 650 | 4 | |a Combinatorial optimization | |
| 650 | 4 | |a Shoelaces |x Mathematics | |
| 650 | 0 | 7 | |a Schnürsenkel |0 (DE-588)4466990-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kombinatorische Optimierung |0 (DE-588)4031826-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kombinatorische Optimierung |0 (DE-588)4031826-6 |D s |
| 689 | 0 | 1 | |a Schnürsenkel |0 (DE-588)4466990-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Mathematical world |v 24 |w (DE-604)BV004574320 |9 24 | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/fy0614/2006040733.html |3 Table of contents only | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015035806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015035806 | ||
Datensatz im Suchindex
| _version_ | 1804135750293258240 |
|---|---|
| adam_text | Preface vii
1 Setting the Stage 1
1.1 Populär Lacings 2
1.2 Dense, Straight, Superstraight, and Simple Lacings 4
1.3 Notes 6
2 One Column Lacings 7
2.1 The Number of One Column n Lacings 8
2.2 The Shortest One Column n Lacings 9
2.3 The Longest One Column n Lacings 9
2.4 Straight n Lacings and One Column n Lacings 14
2.5 Notes 16
3 Counting Lacings 19
3.1 The Number of n Lacings 19
3.2 Notes 28
4 The Shortest Lacings 29
4.1 Statement of Results 29
4.2 The Shortest General and Dense n Lacings 31
4.3 The Shortest Straight n Lacings 37
4.4 The Shortest Dense and Straight n Lacings 39
4.5 Comparing the Lengths of Some Populär n Lacings 41
4.6 Notes 43
5 Variations on the Shortest Lacing Problem 47
5.1 Linear Shoes 47
5.2 Framed Shoes 50
5.3 General Shoes 52
5.4 Open Lacings 55
5.5 Multi Loop Lacings 56
vi Contents
6 The Longest Lacings 59
6.1 Summary of Results and Conjectures 59
6.2 The Longest Simple n Lacings 60
6.3 The Longest Dense and General n Lacings 61
6.4 The Longest Straight and Superstraight n Lacings 68
6.5 The n Lacings of Longest Vertical Length 71
6.6 Notes 81
7 The Strongest Lacings 83
7.1 Statement of Results 85
7.2 The Strongest n Lacings 86
7.3 The Strongest Straight n Lacings 88
7.4 Proofs of the Lemmas 89
7.5 Notes 99
8 The Weakest Lacings 101
8.1 Summary of Results and Conjectures 101
8.2 Notes 106
A Related Mathematics 107
A.l Traveling Salesman Problems 107
A.2 The Shoelace Formula 109
B Loose Ends 111
B.l History 111
B.2 Shoelace Superstitions 112
B.3 Questions of Style 112
B.4 Fashion 114
B.5 What Is the Best Way to Lace Your Shoes? 115
B.6 Foot Problems and Lacings 116
B.7 What Is the Best Way to Tie Your Shoelaces? 118
References 121
Index 123
|
| adam_txt |
Preface vii
1 Setting the Stage 1
1.1 Populär Lacings 2
1.2 Dense, Straight, Superstraight, and Simple Lacings 4
1.3 Notes 6
2 One Column Lacings 7
2.1 The Number of One Column n Lacings 8
2.2 The Shortest One Column n Lacings 9
2.3 The Longest One Column n Lacings 9
2.4 Straight n Lacings and One Column n Lacings 14
2.5 Notes 16
3 Counting Lacings 19
3.1 The Number of n Lacings 19
3.2 Notes 28
4 The Shortest Lacings 29
4.1 Statement of Results 29
4.2 The Shortest General and Dense n Lacings 31
4.3 The Shortest Straight n Lacings 37
4.4 The Shortest Dense and Straight n Lacings 39
4.5 Comparing the Lengths of Some Populär n Lacings 41
4.6 Notes 43
5 Variations on the Shortest Lacing Problem 47
5.1 Linear Shoes 47
5.2 Framed Shoes 50
5.3 General Shoes 52
5.4 Open Lacings 55
5.5 Multi Loop Lacings 56
vi Contents
6 The Longest Lacings 59
6.1 Summary of Results and Conjectures 59
6.2 The Longest Simple n Lacings 60
6.3 The Longest Dense and General n Lacings 61
6.4 The Longest Straight and Superstraight n Lacings 68
6.5 The n Lacings of Longest Vertical Length 71
6.6 Notes 81
7 The Strongest Lacings 83
7.1 Statement of Results 85
7.2 The Strongest n Lacings 86
7.3 The Strongest Straight n Lacings 88
7.4 Proofs of the Lemmas 89
7.5 Notes 99
8 The Weakest Lacings 101
8.1 Summary of Results and Conjectures 101
8.2 Notes 106
A Related Mathematics 107
A.l Traveling Salesman Problems 107
A.2 The Shoelace Formula 109
B Loose Ends 111
B.l History 111
B.2 Shoelace Superstitions 112
B.3 Questions of Style 112
B.4 Fashion 114
B.5 What Is the Best Way to Lace Your Shoes? 115
B.6 Foot Problems and Lacings 116
B.7 What Is the Best Way to Tie Your Shoelaces? 118
References 121
Index 123 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Polster, Burkard 1965- |
| author_GND | (DE-588)113535384 |
| author_facet | Polster, Burkard 1965- |
| author_role | aut |
| author_sort | Polster, Burkard 1965- |
| author_variant | b p bp |
| building | Verbundindex |
| bvnumber | BV021823696 |
| callnumber-first | Q - Science |
| callnumber-label | QA99 |
| callnumber-raw | QA99 |
| callnumber-search | QA99 |
| callnumber-sort | QA 299 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SN 100 |
| ctrlnum | (OCoLC)64084950 (DE-599)BVBBV021823696 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02092nam a2200529 cb4500</leader><controlfield tag="001">BV021823696</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20061218 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">061123s2006 xxuad|| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2006040733</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">GBA652885</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821839330</subfield><subfield code="c">softcover : alk. paper</subfield><subfield code="9">0-8218-3933-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)64084950</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021823696</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA99</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SN 100</subfield><subfield code="0">(DE-625)143330:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Polster, Burkard</subfield><subfield code="d">1965-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113535384</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The shoelace book</subfield><subfield code="b">a mathematical guide to the best (and worst) ways to lace your shoes</subfield><subfield code="c">Burkard Polster</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Math.l Soc.</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 125 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield><subfield code="c">26 cm</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical world</subfield><subfield code="v">24</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 121-122) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lacets - Mathématiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathématiques - Miscellanées</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Optimisation combinatoire</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield><subfield code="v">Miscellanea</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shoelaces</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schnürsenkel</subfield><subfield code="0">(DE-588)4466990-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Optimierung</subfield><subfield code="0">(DE-588)4031826-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kombinatorische Optimierung</subfield><subfield code="0">(DE-588)4031826-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schnürsenkel</subfield><subfield code="0">(DE-588)4466990-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical world</subfield><subfield code="v">24</subfield><subfield code="w">(DE-604)BV004574320</subfield><subfield code="9">24</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/toc/fy0614/2006040733.html</subfield><subfield code="3">Table of contents only</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015035806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015035806</subfield></datafield></record></collection> |
| id | DE-604.BV021823696 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:55:01Z |
| indexdate | 2024-07-09T20:45:28Z |
| institution | BVB |
| isbn | 0821839330 |
| language | English |
| lccn | 2006040733 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015035806 |
| oclc_num | 64084950 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR |
| owner_facet | DE-20 DE-355 DE-BY-UBR |
| physical | X, 125 S. Ill., graph. Darst. 26 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | American Math.l Soc. |
| record_format | marc |
| series | Mathematical world |
| series2 | Mathematical world |
| spelling | Polster, Burkard 1965- Verfasser (DE-588)113535384 aut The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes Burkard Polster Providence, R.I. American Math.l Soc. 2006 X, 125 S. Ill., graph. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Mathematical world 24 Includes bibliographical references (p. 121-122) and index Lacets - Mathématiques Mathématiques - Miscellanées Optimisation combinatoire Mathematik Mathematics Miscellanea Combinatorial optimization Shoelaces Mathematics Schnürsenkel (DE-588)4466990-2 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 s Schnürsenkel (DE-588)4466990-2 s DE-604 Mathematical world 24 (DE-604)BV004574320 24 http://www.loc.gov/catdir/toc/fy0614/2006040733.html Table of contents only HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015035806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Polster, Burkard 1965- The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes Mathematical world Lacets - Mathématiques Mathématiques - Miscellanées Optimisation combinatoire Mathematik Mathematics Miscellanea Combinatorial optimization Shoelaces Mathematics Schnürsenkel (DE-588)4466990-2 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| subject_GND | (DE-588)4466990-2 (DE-588)4031826-6 |
| title | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes |
| title_auth | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes |
| title_exact_search | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes |
| title_exact_search_txtP | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes |
| title_full | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes Burkard Polster |
| title_fullStr | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes Burkard Polster |
| title_full_unstemmed | The shoelace book a mathematical guide to the best (and worst) ways to lace your shoes Burkard Polster |
| title_short | The shoelace book |
| title_sort | the shoelace book a mathematical guide to the best and worst ways to lace your shoes |
| title_sub | a mathematical guide to the best (and worst) ways to lace your shoes |
| topic | Lacets - Mathématiques Mathématiques - Miscellanées Optimisation combinatoire Mathematik Mathematics Miscellanea Combinatorial optimization Shoelaces Mathematics Schnürsenkel (DE-588)4466990-2 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| topic_facet | Lacets - Mathématiques Mathématiques - Miscellanées Optimisation combinatoire Mathematik Mathematics Miscellanea Combinatorial optimization Shoelaces Mathematics Schnürsenkel Kombinatorische Optimierung |
| url | http://www.loc.gov/catdir/toc/fy0614/2006040733.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015035806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004574320 |
| work_keys_str_mv | AT polsterburkard theshoelacebookamathematicalguidetothebestandworstwaystolaceyourshoes |