| Titre : |
Sphere packings, lattices and groups |
| Type de document : |
texte imprimé |
| Auteurs : |
John Horton Conway, Auteur ; N. J. A. Sloane, Auteur |
| Editeur : |
Berlin ; London ; Cham : Springer |
| Année de publication : |
1988 |
| Collection : |
Grundlehren der mathematischen wissenschaften num. 290 |
| Importance : |
XXVII, 663 p. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-387-96617-5 |
| Note générale : |
Bibliogr. p. [572]- 639. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Remplissage et recouvrement (géométrie combinatoire)
Sphère
Treillis, Théorie des
Groupes finis
Combinatorial packing and covering
Sphere
Lattice theory
Finite groups |
| Index. décimale : |
512.54 Groupes. Théorie des groupes |
| Résumé : |
This book is mainly concerned with the problem of packing spheres in euclidean space of dimesions 1,2,3,4... given a large numbrer of equal spheres, what is the most efficient way to pack them together ? we also study several closely related problems : the kissing numbrer problem, which asks how many sphers can be arranged so that thely all touch one central sphere of the same size; the covering problem, which asks for the least dense way to cover n-dimensional space with equal overlapping spheres; and the quantizing problem, important for applications to analog-to-digital conversion, which asks how to place points in space so that average second moment of their their voronoi cells is as small as possible. |
| Note de contenu : |
In summary :
1. Spher packings and kissing numbers.
2. Coverings, lattices and quantizers.
3. Codes, designs and groups.
4. Certain important lattices and their properties.
5. Sphere packing and error-correcting codes.
6. Laminated lattices.
7. Futher connections between codes and lattices.
8. Algebraic constructions for lattices.
9. Bounds for codes and sphere packings.
10. Three lectures on exceptional groups.
... |
Sphere packings, lattices and groups [texte imprimé] / John Horton Conway, Auteur ; N. J. A. Sloane, Auteur . - Berlin ; London ; Cham : Springer, 1988 . - XXVII, 663 p. ; 24 cm. - ( Grundlehren der mathematischen wissenschaften; 290) . ISBN : 978-0-387-96617-5 Bibliogr. p. [572]- 639. - Index Langues : Anglais ( eng)
| Mots-clés : |
Remplissage et recouvrement (géométrie combinatoire)
Sphère
Treillis, Théorie des
Groupes finis
Combinatorial packing and covering
Sphere
Lattice theory
Finite groups |
| Index. décimale : |
512.54 Groupes. Théorie des groupes |
| Résumé : |
This book is mainly concerned with the problem of packing spheres in euclidean space of dimesions 1,2,3,4... given a large numbrer of equal spheres, what is the most efficient way to pack them together ? we also study several closely related problems : the kissing numbrer problem, which asks how many sphers can be arranged so that thely all touch one central sphere of the same size; the covering problem, which asks for the least dense way to cover n-dimensional space with equal overlapping spheres; and the quantizing problem, important for applications to analog-to-digital conversion, which asks how to place points in space so that average second moment of their their voronoi cells is as small as possible. |
| Note de contenu : |
In summary :
1. Spher packings and kissing numbers.
2. Coverings, lattices and quantizers.
3. Codes, designs and groups.
4. Certain important lattices and their properties.
5. Sphere packing and error-correcting codes.
6. Laminated lattices.
7. Futher connections between codes and lattices.
8. Algebraic constructions for lattices.
9. Bounds for codes and sphere packings.
10. Three lectures on exceptional groups.
... |
|  |
Ajouter le résultat dans votre panier Faire une suggestion Affiner la recherche
