Index δ-net, 219 f-vector, 260 h-vector, 267 affine hull, 42 hyperplane, 42 independence, 42 subspace, 42 algebra of closed convex sets, 29 of compact convex sets, 29 of polyhedra, 39 of rational polyhedra, 337 Borsuk conjecture, 214 boundary, 47 chromatic number, 182 clique number, 182 closure, 111 codimension, 43 combination affine, 42 conic, 65 convex, 2 condition interior point, 170 Kuhn-Tucker, 170 Slater’s, 171 stability, 170 cone, 65 C+, 161 L1 + , 161 L∞, + 161 V+, 161 Rd + , 160 S+, 160 base of, 66 dual, 162 homogeneous, 79 moment, 68, 151 of feasible directions, 100 of non-negative polynomials, 73, 151 of positive semidefinite Hermitian matri- ces, 91 of positive semidefinite matrices, 79 of powers of linear forms, 151 polyhedral, 147 rational, 330 simple, 326 recession, 99 support, 341 unimodular, 353 conic hull, 65 contingency tables, 353 convex body, 207, 210 symmetric about the origin, 207 combination, 5 hull, 2, 5 set, 2, 5 algebraically open, 45 convolution, 34 coset, 288 crosspolytope, 9 cube, 9 dilation, 6 dimension, 42, 49 direct product, 110 distance, 2 363
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