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Авторизация |
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Поиск по указателям |
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Zong Ch. — Sphere packings |
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Предметный указатель |
Afflerbach, l. 40
Aigner, M. 21
Automorphism 25
Babai, L. 40
Baire category 73
Ball, K. 54 61
Bambah, R.P. 61
Bannai, E. 144 146 148
Baranovskii, E.P. 40 45 61
Barany, I. 187 195
Barlow, W. 19
Barnes, E.S. 40 42 45 61
Bateman, P.T. 50
Bertrand, J.L.F. 43
Betke, U. 20 200 204 214
Blaschke's selection theorem 203
Blaschke, W. 123
Blichfeldt, H.F. 19 40 43 91 92 94 101 103 107 156
Blocking number 65 71
Blundon, W.J. 162
Bolle, u. 156
Boltjanski, v.i. 184
Bonnet, p.o. 43
Boroczky jr, k. 110 200 204 215
Boroczky, K. 111 117 165 169 189
Bosanquet, L.S. 122
Bose — chaudhuri — hocquenghem code 81
Bouquet, j.c. 43
Bourgain, J. 77
Brunn — Minkowski inequality 44
Busemann, H. 123
Butler, g.j. 177
Cap packing 11 131
Cassels, J.W.S. 50 62
Cell complex 169
Chebyshev, P.L. 43
Christoffel — Darboux formula 126
Closeness 165
Closest sphere packing 165
Cluster 16 18
Code 79 83 88 143
Codeword 79 150
Convex body 1 65 73
Convex hull 199
Conway, J.H. 19 84 89 142 178
Cooke, R.G. 122
Coordinate array 86
Coorthosimplex 115 117
Corput, j.g. van der 99
Covering density 55 57 195
Coxeter, H.S.M. 58 61 111 169
Critical form 24 27
Croft, H.T. 200
Cross polytope 69 74 112
Csoka, g. 185
Cyclic code 80 82
Cylindrical hole 178 181
Dalla, L. 66
Daniel's asymptotic formula 107 110
Danzer, L. 185
Dauenhauer, m.h. 19
Davenport, H. 19 47 50 62 99 122
Deepest hole 176
Dehn — sommerville equation 70
Delone simplex 16 61
Delone star 16 18
Delone triangulation 16 61
Delone, B.N. 40 43 45 61
Delsarte, p. 127 132 145
Densest lattice packing 4 24 29 32 35 40 72
Densest translative packing 4
density 4 13 24 32 35 40 153 157 186
Determinant 2
Difference body 65
Difference set 2
Dihedral angle 107 110 121 166 172
Dirichlet — voronoi cell 5 13 15 60 103 112 119 167 170 173 186 204 211
Dirichlet's approximation theorem1 85
Dirichlet, G.L. 43
Discriminant 23
dodecahedron 13
Euler's formula 8 12 173
Extreme form 24 33
F-module 80
Face-centered cubic lattice 10 17 19
Facet 34 67 69 104 168 191 211
Falconer, h.j. 200
Fejer, L. 198
Fejes Toth, G. 163 214
Fejes Toth, L. 14 16 19 137 165 170 183 198 199 214
Ferguson, s.p. 18 19
Few, L. 58 61 157
Finite field 79
Fundamental domain 51 53
Fundamental parallelepiped 2
Gamma function 2
Gandini, p.m. 215
Gauss, C.F. 19 29 43
Generator matrix 80
Generator polynomial 80 82
Geodesic arc 11 16
Geodesic distance 11
Geodesic metric 111
Geodesic radius 95 97 111 184
Goethals, J.M. 132 145
Gohberg, I. 184
Golay code 81 85
Golay, M.J.E. 84
Green, R. 102
Gregory — newton problem 10 18 21 165
Gregory, D. 10
Gritzmann, P. 214
Groemer, H. 4 19 20 128 156
Grotschel, M. 142
Gruber, P.M. 20 73 178 186
Grunbaum, B. 20
Guy, R.K. 200
H-locally averaged density 14
H-neighbor 14
Hadwiger, H. 2 4 20
Hajos, G. 99
Halberg, c. 184
Hales, T.C. 14 16 18 19
Hamming code 81 84
Hamming distance 79 82
Hardy, G.H. 100
Helmholtz, H. 43
Henk, m. 20 110 177 185 195 200 204 214
Heppes, A. 162 178 185
Hermite's constant 24 40
Hermite's reduction 40
Hermite, Ch. 43
Hilbert's 18th problem 19
Hilbert, D. 19 44
Hlawka, E. 4 20 47 62 99
Homeomorphic 169
Homogeneous harmonic polynomial 127
Hoppe, R. 11 21
Hornich number 185
Hornich's problem 183 189
Hornich, h. 183
Hortobagyi, i. 178
Horvath, j. 163 175 177 179 181
Hoylman, d.j. 20
Hsiang, W.Y. 14 16 19
Hua, L.K. 99
Hurwitz, A. 43
icosahedron 10
Inner product distribution 143 146
Integral lattice 139 144 146
| Isomorphic 169
Isoperimetric inequality 200
Jacobi polynomial 125 141
Jensen's inequality 7 9 171
John, F. 186 194
Jordan measurable set 51 156
Jordan, C. 44 102
Justesen code 82 88
K-fold packing 153 155
K-z reduced form 36 38 39
K-z reduction 40
Kabatjanski, g.a. 125 133 136
Kanagasahapathy, p. 157
Kepler's conjecture 13 14 16 18 19 165
Kepler, J. 13
Kershner, R. 61
Kirchhoff, G.R. 43
Klein, F. 44 102
Kleinschmidt, P. 214
Kneser, M. 140
Korkin, A.N. 33 35 38 43
Kronecker symbol 125
Kronecker, L. 43
Kummer, E.E. 43
Kuperberg, w. 163
L-s-m reduced form 25 27
L-s-m reduction 40
L. fejes toth number 185
L. fejes toth's problem 183 189
Lagrange, J.L. 8 19 26 43
Laplace operator 127
Larman, D.G. 20 66 74 123
Lattice 2 9 23 36 139 153 157 183
Lattice covering 55
Lattice kissing number 2 41
Lattice packing 2 7 23 42 83
Leader, I. 187
Lebesgue measurable set 52
Lebesgue's theorem 54
Leech lattice 85 140
Leech, J. 11 21 82 86 88
Leichtweib, k. 194 200
Lekkerkerker, C.G. 20 50 178 186
Lenstra, A.K. 40
Lenstra, jr, h.w. 40
Levenstein, v.i. 94 125 133 136 141
Levin, E. 184
Lie, S. 102
Light ray 183 188
Lindemann, F. 43
Lindsey ii, j.h. 19
Linear code 80 83 85 88
Linhart, J. 163
Litsyn, s.n. 89
Littlewood, J.E. 100
Lloyd, S.P. 132
Lovasz, L. 40 142
Macbeath, A.M. 50
Mahler, K. 19 51 62
Malysev, a.v. 51 62
Mani-Levitska, P. 66
Markov, A.A. 44
Milman, V.D. 77
Milnor, J. 19
Minkowski inequality 74
Minkowski metric 44 74
Minkowski sum 155
Minkowski — Hlawka theorem 44 47 50 54 84 88
Minkowski, H. 2 20 25 43 47
Mixed volume 155
Mobius function 50
Monomial 127
Mordell, L.J. 31
Muder, d.j. 19
Nemhauser, G.L. 142
Newton, I. 10 21
Odlyzko, A.M. 132 141
Orthopoint 115
Orthosimplex 114 117 119
Pachner, U. 214
Pentagonal prism 18
Perfect form 33 35 41
Petty, C.M. 123
Polyhedral convex cone 34
Primitive point 50 53
Properly reduced form 51
Quadratic form 19 23 25 31 34 41 47
Quadratic residue code 81
Quermassintegral 204
Rankin, R.A. 19 94 96 99
Reed — Muller code 82 85 88
Reed — Solomon code 81
Riemann zeta function 45 47
Riesz, F. 100
Rogers, C.A. 19 47 50 54 55 58 61 103 108 122 176 178 195
Rush, j.a. 84
Ryskov, s.s. 40 45 61 175 178 181
Sanov, j.n. 51
Saturated packing 14 16 17
Sausage catastrophe 214
Sausage conjecture 199 214
Schaake, G. 99
Schlafli's function 107 111 121
Schlafli, L. 107
Schmidt, W. 51 54 61
Schneider, T. 51 62
Schrijver, A. 142
Schutte, K. 11 21
Score 16
Seeber set 178 181
Seeber, l.a. 19 27
Segre, B. 19
Seidel, J.J. 132 145
Selling's reduction 40
Shannon, C.E. 71
Shephard, G.C. 122
Sidelnikov, v.m. 94
Siegel's mean value formula 52 54
Siegel, C.L. 51 52 62 177
Simplical polytope 69
Sloane, N.J.A. 19 82 86 88 132 137 141 142 144 146 148 178
Smith, H.J.S. 44
Solid angle 58
Soltan, V. 189
Space-centered cubic lattice 166 175
Spherical code 127 145
Spherical conjecture 200
Spherical harmonic 128 145
Spherical l-design 145 147
Spherical polynomial 127
Spherical simplex 107 111 121
Stable form 24
Star body 47
Steiner's formula 155
Stirling's formula 77 110 136
Stogrin, m.i. 40 45
Straus, E. 184
Sublattice 37
Supersphere 74 99
Swinnerton-Dyer, P. 72
Szego G. 125
Talata, i. 20 77 195
Tammela, p.p. 40 45
Taylor's theorem 96
Temesvari, a.h. 163
Thirteen spheres problem 10
Thue, A. 8 19
Tiling 6 8 51 104 154 169
Translative kissing number 2 65 72 74 111
Translative packing 2
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