Several universal approximation and universal representation results are known for non-Boolean multivalued logics such as fuzzy logics. In this paper, we show that similar results can be proven for multivalued Boolean logics as well.
Boolean Representation of Manifolds and Functions
โ Scribed by Sergei Ovchinnikov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present in this paper an elementary method of obtaining a differential representation of Radon measures, of rapidly decreasing functions, and of elements of Besov spaces. We apply our results to the study of vaguelette systems.
## Abstract We prove a new sampling formula and disprove the existence of a Shannon sampling formula for functions in the Hardy space โ๏ธ^2^(โ). As a consequence, a new series representation of the Riemann zeta function in the half plane \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{do
In this paper we deal with the symmetry group S f of a boolean function f on n-variables, that is, the set of all permutations on n elements which leave f invariant. The main problem is that of concrete representation: which permutation ลฝ . groups on n elements can be represented as G s S f for some