𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the conditional expectation of observables in MV algebras of fuzzy sets

✍ Scribed by Beloslav Riečan


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
268 KB
Volume
102
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis


A quantum mechanical model is considered based on an MV algebra of fuzzy sets. The conditional expectation is studied of an observable with respect to another one. The main result is a variant of the martingale convergence theorem.


📜 SIMILAR VOLUMES


On the conditional expectation E(X | X +
✍ Ehrhard Behrends 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 217 KB

Let X, W be independent real-valued random variables with finite expectation and E(W)=-0. We prove that only in the case W = 0 the conditional expectation E(X IX + W) coincides with X + W. The result is a consequence of the following cancellation theorem: Let P,Q,R be Borel probability measures on t

On the Boolean algebras of definable set
✍ Stefano Leonesi; Carlo Toffalori 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

## Abstract We consider the sets definable in the countable models of a weakly o‐minimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is p‐__ω__‐categorical), in other words when each of these definable sets adm