FLIRT 发表于 2025-3-25 05:18:35
http://reply.papertrans.cn/23/2300/229901/229901_21.pngcholeretic 发表于 2025-3-25 08:26:49
http://reply.papertrans.cn/23/2300/229901/229901_22.pngRECUR 发表于 2025-3-25 15:42:34
Sketches of the Nineteenth Centuryint sets in ℝ.. Our first aim is to show that, equivalently, convex polytopes can be defined as bounded intersections of finitely many half-spaces. (This fact is of particular relevance in linear optimization).Arable 发表于 2025-3-25 17:48:29
http://reply.papertrans.cn/23/2300/229901/229901_24.pngSENT 发表于 2025-3-25 22:24:47
Gröbner Bases for Skew , Extensionsed by a quotient . of polynomials .,. with . nowhere 0 on .. Even more concretely, we may choose . to be a Zariski open subset of the torus . so that the rational functions on . are all given by rational functions on ..刚开始 发表于 2025-3-26 02:39:23
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Combinatorial theory of polytopes and polyhedral setsint sets in ℝ.. Our first aim is to show that, equivalently, convex polytopes can be defined as bounded intersections of finitely many half-spaces. (This fact is of particular relevance in linear optimization).mastoid-bone 发表于 2025-3-26 10:14:41
Polyhedral spheresagain being convex polytopes. If, however, any cell decomposition of a topological sphere is given, there need not exist a convex polytope with isomorphic (in the sense of inclusion of cells) boundary complex. We shall present counter-examples in section 4 below. In fact, one of the major unsolved pArctic 发表于 2025-3-26 16:21:02
Toric Varietiesthe theory, usually as “charts” of which more general varieties are built up (by “gluing together”). The underlying field of coefficients may be general or restricted to one of the fields ℚ, ℝ, ℂ of rational, real, or complex numbers, depending on the topic discussed and the methods used.projectile 发表于 2025-3-26 18:55:17
Sheaves and projective toric varietiesed by a quotient . of polynomials .,. with . nowhere 0 on .. Even more concretely, we may choose . to be a Zariski open subset of the torus . so that the rational functions on . are all given by rational functions on ..