Least action principle of crystal formation of dense packing type and Kepler's conjecture:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific
2001
|
| Schriftenreihe: | Nankai tracts in mathematics
v. 3 |
| Schlagwörter: | |
| Links: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83665 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83665 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83665 |
| Beschreibung: | Includes bibliographical references (pages 397-399) and index Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal "known density" of p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 should be the optimal "density" of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that p/v18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of densi |
| Umfang: | 1 Online-Ressource (xxi, 402 pages) |
| ISBN: | 9789812384911 981238491X |
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| 300 | |a 1 Online-Ressource (xxi, 402 pages) | ||
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| 490 | 0 | |a Nankai tracts in mathematics |v v. 3 | |
| 500 | |a Includes bibliographical references (pages 397-399) and index | ||
| 500 | |a Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index | ||
| 500 | |a The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal "known density" of p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 should be the optimal "density" of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that p/v18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of densi | ||
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| 650 | 7 | |a Crystallography, Mathematical |2 fast | |
| 650 | 7 | |a Kepler's conjecture |2 fast | |
| 650 | 7 | |a Sphere packings |2 fast | |
| 650 | 4 | |a Kepler's conjecture | |
| 650 | 4 | |a Sphere packings | |
| 650 | 4 | |a Crystallography, Mathematical | |
| 650 | 0 | 7 | |a Kugelpackung |0 (DE-588)4165929-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| author | Hsiang, Wu Yi |
| author_facet | Hsiang, Wu Yi |
| author_role | aut |
| author_sort | Hsiang, Wu Yi |
| author_variant | w y h wy wyh |
| building | Verbundindex |
| bvnumber | BV043101142 |
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| 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 |
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| indexdate | 2024-12-20T17:28:10Z |
| institution | BVB |
| isbn | 9789812384911 981238491X |
| language | English |
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| spelling | Hsiang, Wu Yi Verfasser aut Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang Singapore World Scientific 2001 1 Online-Ressource (xxi, 402 pages) txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 3 Includes bibliographical references (pages 397-399) and index Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal "known density" of p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 should be the optimal "density" of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that p/v18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of densi MATHEMATICS / Combinatorics bisacsh Crystallography, Mathematical fast Kepler's conjecture fast Sphere packings fast Kepler's conjecture Sphere packings Crystallography, Mathematical Kugelpackung (DE-588)4165929-6 gnd rswk-swf Kristallmathematik (DE-588)4125615-3 gnd rswk-swf Kugelpackung (DE-588)4165929-6 s Kristallmathematik (DE-588)4125615-3 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83665 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hsiang, Wu Yi Least action principle of crystal formation of dense packing type and Kepler's conjecture MATHEMATICS / Combinatorics bisacsh Crystallography, Mathematical fast Kepler's conjecture fast Sphere packings fast Kepler's conjecture Sphere packings Crystallography, Mathematical Kugelpackung (DE-588)4165929-6 gnd Kristallmathematik (DE-588)4125615-3 gnd |
| subject_GND | (DE-588)4165929-6 (DE-588)4125615-3 |
| title | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_auth | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_exact_search | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_full | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_fullStr | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_full_unstemmed | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_short | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_sort | least action principle of crystal formation of dense packing type and kepler s conjecture |
| topic | MATHEMATICS / Combinatorics bisacsh Crystallography, Mathematical fast Kepler's conjecture fast Sphere packings fast Kepler's conjecture Sphere packings Crystallography, Mathematical Kugelpackung (DE-588)4165929-6 gnd Kristallmathematik (DE-588)4125615-3 gnd |
| topic_facet | MATHEMATICS / Combinatorics Crystallography, Mathematical Kepler's conjecture Sphere packings Kugelpackung Kristallmathematik |
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| work_keys_str_mv | AT hsiangwuyi leastactionprincipleofcrystalformationofdensepackingtypeandkeplersconjecture |