Kolmogorov structure function
description: statistical function
text: To each constructive object corresponds a function of a natural number k—the log of minimal cardinality of x-containing sets that allow definitions of complexity at most k. If the element x itself allows a simple definition, then the function drops to 0 even for small k. Lacking such definition, the element is "random" in a negative sense. But it is positively "probabilistically random" only when function having taken the value at a relatively small , then changes approximately as .
sign: Andrey Kolmogorov
source: announcement cited above
subject: Category:Algorithmic information theory