T wo measures of the "meaningful" complexity of an infini te string are shown to be equivalent up to a constant (under app ropriate translati on) . "Sophis t ica tion", defined by Koppel and Atlan [3], is the size of t he projectible par t of the st ring's minimal description and forma lizes t he amount of pla nni ng which wen t into t he constru ct ion of the str ing. "Dept h". defi ned by Ben...

This study explores relationships between current levels of information technology (IT) sophistication and seven reportable quality measures (QMs) in 210 nursing homes in Missouri. Between December 2006 and August 2007, each nursing home completed a survey providing IT sophistication levels measured within nine subscales. During this same time, nationally reported QMs were collected for each nu...

In this paper we revisit the notion of sophistication for infinite sequences. Koppel defined sophistication of an object as the length of the shortest (finite) total program (p) that with some (finite or infinite) data (d) produce it and |p|+ |d| is smaller than the shortest description of the object plus a constant. However the notion of “description of infinite sequences” is not appropriately...

The focus of this research is to develop a sophistication index for evaluating security breaches due to cyber-attacks. Although reports about cyber-attacks elucidate the sophistication involved in a given security or data breach, it is difficult to compare the sophistication of breaches across multiple attacks. Once we have an attack sophistication index, incidents can be compared and consequen...