Sequential convergence of regular measures on prehilbert space logics

ON r-REGULAR CONVERGENCE

In his paper On sequences and limiting sets [ l ] , 1 G. T. Whyburn introduced the notion of regular convergence. He showed that in the cases of 0 and 1 regular convergence (see definition below) that the limit of sequences of many simple topological sets is of the same type as the members of the sequence. I t is the purpose of this paper to extend some of these results to higher dimensions. Th...

Semiconstant Measures on Hyperbolic Logics

We characterize the set of all semiconstant measures on the hyperbolic logics of projections in indefinite metric spaces and describe the set of all probability measures on these logics.

Regular database update logics

We study regular 1rst-order update logic (FUL), which is a variant of regular dynamic logic in which updates to function symbols as well as to predicate symbols are possible. We 1rst study FUL without making assumptions about atomic updates. Second, we look at relational algebra update logic (RAUL), which can be viewed as an extension of relational algebra with assignment. RAUL is an instantiat...

Regular Convergence

Convergence in a sequential two stages decision making process

We analyze a sequential decision making process, in which at each stepthe decision is made in two stages. In the rst stage a partially optimalaction is chosen, which allows the decision maker to learn how to improveit under the new environment. We show how inertia (cost of changing)may lead the process to converge to a routine where no further changesare made. We illustrate our scheme with some...