Mathematical approach to the psychological aspects of human

Belonging to a group, there are people who are always bullied no matter how they behave. They don't know how to treat their own emotions. So, I considered human emotions. I mathematically modeled human emotion processing in two stages: what kind of emotions we receive from events and how we react from the emotions we receive. The part that receives emotions from events and the part that responds from emotions are modeled by a one-dimensional random walk or Wiener process, and the distribution of individual emotions is represented by a fixed probability distribution. Therefore, I also showed that when individuals gather to form a group, the distribution of emotions is also represented by a fixed distribution. In addition, I showed as application examples of these models, the nature of events, the meaning of emotional distribution, and how to read the air, and how to deal with one's character, and how to show one’s reaction and what to do for events which have a large magnitude. *This paper is a revised version of these papers, https://psyarxiv.com/k3j4z/, https://psyarxiv.com/yrd9v/, https://psyarxiv.com/36g5w/.