On Octahedrons in R ∞ ∞ and the Mean Dimension of Space
✍ Scribed by M.S. El Naschie
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 155 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0960-0779
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📜 SIMILAR VOLUMES
We study the limiting behavior of the solution of with a Neumann boundary condition or an appropriate Dirichlet condition. The analysis is based on "energy methods". We assume that the initial data has a "transition layer structure", i.e., u' = f 1 except near finitely many transition points. We sh
## 1. Definitions and Notations Let (pn) be a sequence of non-negative constants such that po=-O and let A P,, = pk . Then the transformations k-0 n and (1.2) n m=O T n = { P n I -I C Pn-mSm define, respectively, (R, pn) and N ~R L U N D means of the sequence (an), where s , is the partial sum of t