The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
✍ Scribed by R.J. Gardner; S. Vassallo
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 89 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl
In December 1907, Minkowski expressed the Maxwell equations in the very beautiful and compact 4dimensional form: lor f = -s, lor F \* = 0. Here 'lor', an abbreviation of Lorentz, represents the 4dimensional differential operator. We study Minkowski's derivation and show how these equations generaliz