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Least action principle of crystal formation of dense packing type and Kepler's conjecture /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
2001.
|
| Colección: | Nankai tracts in mathematics ;
v. 3. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Hsiang, Wu Yi, |d 1937- | |
| 245 | 1 | 0 | |a Least action principle of crystal formation of dense packing type and Kepler's conjecture / |c Wu-Yi Hsiang. |
| 260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c 2001. | ||
| 300 | |a 1 online resource (xxi, 402 pages) : |b illustrations | ||
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| 490 | 1 | |a Nankai tracts in mathematics ; |v v. 3 | |
| 504 | |a Includes bibliographical references (pages 397-399) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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. | |
| 520 | |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 | 0 | |a Kepler's conjecture. | |
| 650 | 0 | |a Sphere packings. | |
| 650 | 0 | |a Crystallography, Mathematical. | |
| 650 | 6 | |a Conjecture de Kepler. | |
| 650 | 6 | |a Empilements de sphères. | |
| 650 | 6 | |a Cristallographie mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Combinatorics. |2 bisacsh | |
| 650 | 7 | |a Crystallography, Mathematical. |2 fast |0 (OCoLC)fst00884665 | |
| 650 | 7 | |a Kepler's conjecture. |2 fast |0 (OCoLC)fst00986844 | |
| 650 | 7 | |a Sphere packings. |2 fast |0 (OCoLC)fst01129672 | |
| 776 | 0 | 8 | |i Print version: |a Hsiang, Wu Yi, 1937- |t Least action principle of crystal formation of dense packing type and Kepler's conjecture. |d Singapore ; River Edge, NJ : World Scientific, 2001 |z 9810246706 |w (DLC) 2001045504 |w (OCoLC)47623942 |
| 830 | 0 | |a Nankai tracts in mathematics ; |v v. 3. | |
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