Innovative mathematical - cognitive models of artificial intelligence based on theory of differential transformations.

An analysis of the problem of mass development of piece intelligence has been carried out. Direct scientific research related to the creation of differential models of piece intelligence has been carried out. For the analysis and forecast of new values of stale and non-stable changeables, a method has been introduced to present their leading values in a time series. A number of differential mathematical models have been developed for conducting regression analysis. The representation of information in matrix-vector form between the balls of the neural network is shown. Methods for predicting the value of values and correlation analysis for the stability of the model of piece intelligence have been developed.