Measures of information

may be the measures of information has many ways, just like distance can be defined in many ways.

how to describe a human-being? you have to admit this job is very diffcult in a "normal" way, or you can describe it by DNA, it is a oracle to construct a human-being and the key is it is absolute brief. of course it requires a "mechanism" is invariable corresponds to "oracle". so if we has many "oracle", then the complexity of "mechanism" can be omitted.

fractal has this property: a simple function can generate quite complex behavior. i.e. a complex graphic generated by a fractal function or cellular-automata generates a series of states. the traditional way to store these graphic is store the coordinate and compress it. From the viewpoint of KC complexity, traditional way is obvious weaker than "generating function"(not the traditional generating function in math). because it just print out the strings. btw, drawing tool is the "mechanism" respectively. memory in human's brain may be stored as oracle: we know what is car in concept rather than store all car's pixel like a computer, we can generate a car in our mind with our kownledge about it. the "generate" is a imaginary process and "kownledge" is come from pattern recognition

the problem is: given data and finds its generating function is diffcult, how to find the "oracle" of a picture or a string? if we find out this method, is it possible to break out entropy? maybe, because the object we considering is changed, aspect is different.