Accession Number : AD0715968

Title :   On the Concept of a Screen.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Kulisch,U.

Report Date : JUL 1970

Pagination or Media Count : 18

Abstract : In a former paper one has defined the concept of a screen. The basic set in this definition was assumed to be an ordered set. In most applications, however, the basic set is not only an ordered set but a complete lattice. Under this assumption one shows in this paper that the concept of a screen is equivalent to the concept of a certain sublattice. Using this relation further necessary and sufficient conditons for a screen can be derived from lattice theory. Similar relations hold a lower and upper screen. (Author)

Descriptors :   (*SET THEORY, ALGEBRAS), MAPPING(TRANSFORMATIONS), NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE