Accession Number : AD0718129

Title :   A Measure of Dimensional Complexity for Multidimensional Systems.

Descriptive Note : Technical rept.,

Corporate Author : ILLINOIS UNIV URBANA BIOLOGICAL COMPUTER LAB

Personal Author(s) : Madden,Robert F.

Report Date : OCT 1970

Pagination or Media Count : 160

Abstract : The study is concerned with the specifically multidimensional properties of systems. A set of four integers, called the 'dimensionality' of a system, derived from set theoretic considerations, is proposed as a measure of the dimensional complexity of a system. The relevance of the dimensionality to the investigation of large scale systems is established. It is shown that the dimensionality provides information on such features as deterministic and statistical linkages between variables, and consistencies and inconsistencies in system data. (Author)

Descriptors :   (*MATHEMATICAL LOGIC, SYSTEMS ENGINEERING), SET THEORY, PERMUTATIONS, DECISION MAKING, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE