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Sphere packings, lattices and groups / John Horton Conway

Public ISBD Titre : Sphere packings, lattices and groups Type de document : texte imprimé Auteurs : John Horton Conway, Auteur ; N. J. A. Sloane, Auteur Editeur : Berlin : 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 . - 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. ...

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
056721	512.54 CON	Papier	Bibliothèque Centrale	Mathématiques	Disponible	Consultation sur place