𝔖 Bobbio Scriptorium
✦   LIBER   ✦

-mixed affine surface area

✍ Scribed by Weidong Wang; Gangsong Leng


Book ID
108175832
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
157 KB
Volume
335
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Mixed affine surface area
✍ Erwin Lutwak πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 470 KB
Random Polytopes and Affine Surface Area
✍ Carsten SchΓΌtt πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 686 KB

## Abstract Let __K__ be a convex body in R__^d^__. A random polytope is the convex hull [x~1~, …, __x~n~__] of finitely many points chosen at random in __K__. IE(__K, n__) is the expectation of the volume of a random polytope of __n__ randomly chosen points. I. BΓ‘rΓ‘ny showed that we have for conve

A Characterization of Affine Surface Are
✍ Monika Ludwig; Matthias Reitzner πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 239 KB

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic.