In describing intelligent processes, AI researches at present – whether they are using neural networks, genetic algorithms etc. – describe the processes with polynomials, which in many cases are polynomials of matrix functions. There exists a special kind of these matrix functions, where the symmetric matrix function solves its own characteristic polynomial.

In this way they are very useful to describe the self-referral or self-reproducing quality of intelligent processes and could also be used to model self-awareness or self-consciousness. By applying the infinitely precise analysis on these kinds of polynomial could bring to light very important results not just in the above mentioned problems but also for self-leaning, self-control and in developing the holographic system-reconstruction procedure.