Mathematical models of digital twins education by means of the mass media

In connection with the growing influence of the media on the individual, modeling of the educational effect of media projects appears to be a task of current interest. Conducting a survey of respondents to determine the effectiveness of such modeling is expensive and might be impractical, since it is carried out after broadcasting is over. Therefore, it is important to assess the impact of media projects on digital counterparts, which are some kind of psychological analogues of a human, performed prior to the program broadcasting. The article presents mathematical models of educating robots being human digital twins via the mass media. It proves the theorems determining the increase in the education of digital counterparts with regular viewing live broadcasts of media projects. A mathematical model of the influence of the previously broadcasted programs of a media project on the current education of a digital twin is proposed and studied. The dependence between the education of a digital double and its memory, characterized by forgetting of previously obtained information, is investigated. Based on the theory of emotional robots, it is proved that for evenly forgetful robot digital twins with equal emotions for all complete educational cycles of media projects, the educational value of the last complete educational cycle is greater than that of all the previous complete educational cycles. It is shown that with the increase in the number of educational measures in the last complete educational cycle, the influence of the education obtained in the previous complete educational cycles decreases. It is proved that with the increase of the memory coefficients of a robot digital double, the educational effect of the previous complete educational cycles on the double increases.