International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The development and use of mathematical models is of great importance not only in the research field, but also in the practical field. Mathematical research in psychology is based on the construction of an image of the studied object or group of objects, fixing the basic properties and relationships. The complexity lies in the heterogeneous nature of individuals, in the diversity of their behavioral characteristics, interests, and features of social behavior. Statistical models can be divided into separate groups; models that consider processes that affect individual behavior at the micro level, that is, at the level of low-level human thinking processes; meso-level models; macro-level models that consider and predict general trends in the behavior of people in a group, for example, in a crowd.

An important task of analyzing the behavior of individuals in society, in a large crowd of people is the development of mathematical models of behavior. The complexity lies in the heterogeneous nature of individuals, in the diversity of their behavioral characteristics, interests, and features of social behavior. Here the possibility of mathematical modeling of crowd behavior is considered and a mathematical model is proposed.

Modern communication and digital technologies allow us to talk about digital art as a separate concept with a complex structure.
Communication technologies combine the individual components of digital art into a single whole. Modern digital technologies contribute to the implementation of creative ideas, promotion and implementation of projects in the field of art. The technologies used in this area have their own characteristics.