Since at least half of the d edges incident to a vertex u of a simple d-polytope P either all point "up" or all point "down," v must be the unique "bottom" or "top" vertex of a face of P of dimension at least d/2. Thus the number of P's vertices is at most twice the number of such high-dimensional f
An easy computable upper bound for the price of an arithmetic Asian option
β Scribed by S. Simon; M.J. Goovaerts; J. Dhaene
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 86 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0167-6687
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π SIMILAR VOLUMES
A fast algorithm for the computation of the optimally frequency-dependent scaled H -norm of a "nite-dimensional LTI system is presented. It is well known that this quantity is an upper bound to the ` -norma; furthermore, it was recently shown to play a special role in the context of slowly time-vary
The distance between two vertices of a polytope is the minimum number of edges in a path joining them. The diameter of a polytope is the greatest distance between two vertices of the polytope. We show that if P is a d-dimensional polytope with n facets, then the diameter of P is at most $ $-3(,r -d