On Continuity in Two Variables

On Logics with Two Variables

This paper is a survey and systematic presentation of decidability and complexity issues for modal and non-modal two-variable logics. A classical result due to Mortimer says that the two-variable fragment of rst-order logic, denoted FO 2 , has the nite model property and is therefore decidable for satissability. One of the reasons for the signiicance of this result is that many propositional mo...

On simple Shamsuddin derivations in two variables.

We study the subgroup of k -automorphisms of k ⁢ [ x , y ] which commute with a simple derivation d of k ⁢ [ x , y ] . We prove, for instance, that this subgroup is trivial when d is a shamsuddin simple derivation. in the general case of simple derivations, we obtain properties for the elements of this subgroup.

On polynomial interpolation of two variables

Constraints on collective density variables: two dimensions.

Collective density variables rho (k) have proved to be useful tools in the study of many-body problems in a variety of fields that are concerned with structural and kinematic phenomena. In spite of their broad applicability, mathematical understanding of collective density variables remains an underexplored subject. In this paper, we examine features associated with collective density variables...

Continuity theorems and chance distribution of random fuzzy variables

variables Continuity theorems and chance distribution of random fuzzy Email alerting service here right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in the box at the top A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable...