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| Schneider R. — Convex Bodies: The Brunn-Minkowski Theory |
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| Предметный указатель |
Set, random closed, isotropic 256
Set, random closed, standard 256
Set, random closed, stationary 256
Set, relatively indecomposable 157
Set, residual 0
Set, strictly separated sets 12
Set, strongly separated sets 12
Set, sublevel 22
Set, support 37
Shahin, J K. 5.3
Shaplev, L.S. 3.1
Shapley — Folkman theorem 128
Shapley — Folkman — Starr theorem 130
Shephard, G. C 1.2 1.3 1.8 2.4 3.1—3.5 4.4 5.4 6.3 7.3 7.4 Appendix
Signed measure 183
Silverman, R. 3.2
Similarity xii
Simon, U. 5.3
Simple n-polytope 99
simplex 3
Simplicial polytope 99
Singular normal vector 77
Singular point 73
Singular relative position 242 250
Singular skeleton 65
Sleiner, J. 4.2 5.4
Sleinitz, E. 1.3
Smilansky, Z. 3.2
Smooth point 73 153
Soltan, P.S. 6.5
Sorger, H. 2.6
Sorokin, V.A. 3.1
Space-filling polytope 192
Special position 227 231
Specific curvature 269
Spherical harmonic 428
Spherical image 77
Spherical image map 78 104
Spiegel, W. 1.8 3.4 4.2 5.1
Stability estimate 314 325
Stability problem 322
Stable convex body 67
Stacho, L.L. 4.4
Standard random closed set 256
Stanley, R.P. 6.3
Star body 416
Starr, R. 3.1
Stationary random closed set 256
Stavrakas, N.M. 1.8 2.1
Steenaerts, P. 4.5
Steiner ball 353
Steiner compact 195
Steiner formula 197 210
Steiner point 42 306
Steiner point, abstract 178
Steinitz's theorem 15
Stepanov, V.N. Appendix
Sternberg, S.R. 3.1
Stoka, M.I. 4.5
Stoker, J.J. 2.5 7.2
Stoyan, D. 3.1 4.5
Strantzen, J.B. 3.2
Straszewicz's theorem 20
Straszewicz, S. 1.4
Strcit, F. 4.5
Strictly separated sets 12
Strongly combinatorially equivalent polytopes 0
Strongly connected family of faces 152
Strongly isomorphic polytopes 100
Strongly separated sets 12
Sturmfels, B. 3.1
Su, B. 5.4 Appendix
Subadditive function 26
Subdiffercntial 30
Subgradient 30
Subgradient choice 32
Sublevel set 22
Sublinear function 26
Summand 134 142
Sung, C.H. 2.2
Support 11 261
Support cone 70
Support element 46 198
Support function 37 176
Support number 271
Support plane 11 37
Support plane, exposed 74
Support plane, extreme 74 76
Support plane, r-exposed 75
Support plane, r-extreme 74
Support plane, regular 77
Support set 37
Support vector 288
Supporting halfspace 11 37
Surface area, affine 419
Surface area, geominimal 425
Surface area, mixed 424
Surface-area centroid 305
Suss, W. 4.3 5.3 6.1 6.2 6.6 7.1
Symmetric difference metric 58
Sz. Nagy (Szokefalvi-Nagy), B.V. 4.2 6.5
Sz. Nagy (Szokefalvi-Nagy), G.V. 6.4
Szego, G. 6.2
Szwiec, W 3.1
Tangent space 103
Tangential body 75 76
| Tangential radius of curvature 119
Tani, M. 5.3
Tanno, S. 3.3 7.4
Tarn, B.S. 2.2
Tcnnison, R.L. 3.2
Teissier, B. 6.2 6.3
Telescoping 380
Temam, R. 3.1
The Lai, Ph. 1.8
Theorem of Aleksandrov — Fenchel — Jessen 400 407
Theorem of Brunn — Minkowski 309
Theorem of Busemann 316
Theorem of Caratheodory 3
Theorem of Euler 106
Theorem of Funk — Hecke 431
Theorem of Helly 4
Theorem of Kirchberger 15
Theorem of Krein — Milman 20 162
Theorem of Minkowski 19
Theorem of Radon 4
Theorem of Shapley — Folkman — Starr 130 139
Theorem of Steinitz 15
Theorem of Straszewicz 20
Theorem of Tverberg 8
Thomas, C 3.5
Thompson, A.C. 1.8 6.2 7.4
Tichy, R. 1.8
Tolstonogov, A.A. 1.8
Touching cone 74
translate xii
Translation xii
Translation vector xii
Treibergs, A. 7.1 7.2
Tverberg, H. 1.1
Tweddle, I 3.1
Typical convex body 119
Uhrin, B. 6.1
Unit ball xii
Unit sphere xii
Universal approximating class 162
Upper curvature 104
Upper radius of curvature 104
Urbariski, R. 1.8
Urysohn inequality 318
Valentine, F.A. 1.2
Valette, G. 1.7 3.1 3.4
Valuation 173
Valuation, weak 179
Vanhecke, L. 4.2
Varberg, D.E. 1.5
Varga, O. 4.5
Vertex 3 96
Vertical halfspace 35
Vidal Abascal, E. 4.2
Vincensini, P. 3.1
Vitalc, R.A. 1.8 3.1 6.1 6.6
Vlasov, L.P. 1.2
Vodop'yanov, S.K. 7.2
Voiculeseu, D. 3.1
Volkov, Ju. A. 6.2 7.2
Volland, W 3.4
Volume, functional 55
Volume, product 421
Waksman, Z. 2.2
Wallen, L.J. 6.2
Webster, R.J. 1.8
Wegmann, R. 3.1
Wegner, B. 3.3
Weil, W. 1.7 2.5 3.1—3.3 3.5 4.2 4.3 4.5 4.6 5.1—5.3 6.2 7.1 7.4
Weingarten map 105
Weiss, G. Appendix
Weiss, V. 4.4
Weissbach, B. 3.5
Werner, E. 7.4
Wets, R.J.-B. 1.4 1.8
Weyl, H. 4.2 6.6
width 42
Wieacker, J.A. 2.6 3.2 3.5 4.5 7.1 7.4
Wieslcr, H. 1.4
Wijsman, R.A. 1.8
Wills, J.M. 4.5 5.3 6.2 6.4
Willson, S.J. 6.5
Wintgen, P. 4.4
Wintner, A. 2.5
Wirtinger"s lemma 352
Witsenhausen, H.S. 3.5
Wrase, D. 6.4
Wu, H. 2.5
Wulff shape 350
Wunderlich, W. 3.5
Yano, K. 5.3
Yau, S.-T. 7.1
Yost, D. 3.2
Zaehle, M. 4.2. 4.4. 4.5
Zajicek, L. 2.2
Zalgaller, V.A. 1.2 1.3 2.3 2.5 6.1—6.3
Zamfirescu, T 2.6 3.1
Zhang, G. 7.4
Zhuang, X. 3.1
Zinn, J. 3.1
Zivaljevic, R.T. 1.8
Zonoid 182 183
Zonoid, generalized 187
Zonotope 182
“Most” convex bodies 119
“Nearly all” elements of Baire space 124
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