On the Ranges of Algebraic Functions on Lattices
β Scribed by Sergiu Rudeanu; Dan A. Simovici
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 262 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let f : Z β {0; 1} be a given function. In 1938, Morse and Hedlund observed that if the number of distinct vectors (f(x + 1); : : : ; f(x + n)), x β Z, called complexity, is at most n for some positive integer n, then f is periodic with period at most n. This result is best possible. Functions with
We extend the notion of belief function to the case where the underlying structure is no more the Boolean lattice of subsets of some universal set, but any lattice, which we will endow with a minimal set of properties according to our needs. We show that all classical constructions and definitions (