Bet365 app download American mathematicians developed a new model with topology tools，to track the spread and change of public opinion on social networks。

According to the official website of the University of Pennsylvania, the official website of the University of Pennsylvania, recently reported，The school's professor of mathematics, Robert Ghrist, and doctoral student Jakob Hansen (Jakob Hansen) established a comprehensive mathematical framework in the new study of "Public Opinion Dynamics"，to simulate how public Bet365 lotto review opinion changes over time。

With the rise of social media，Scientists have continued to increase their interest in research and development of various models to study viewpoints and behaviors on the Internet。In the field of mathematics，This means studying individuals and groups on the network (ie node) and the connection between them (ie, edge)。The current challenge is，How to add more features to a mathematical framework to simulate different scenarios in the real world。Garrister introduced to，"We hope to design a different aspect of all aspects，But the framework that can still provide rigorous operating rules "。

An key mathematical concept involved in this new study is the Laplas operator。bet365 best casino games There is a classic study of public opinion dynamics using the Laplas operator，If the individual gives a quantitative point of view，For example, using 1-10 points to represent your view of president，The interaction with neighbors in the Internet will make people get closer to the local average。That is to say，On social media，The more people talk, the more they tend to be consistent with views。But，This cannot explain the differences between the current opinions and polarization problems。

Griste and Hanson combine the Laplas operator with the discourse layer，Created a public opinion and dynamic model with high flexibility and adaptability。Researchers use cases for model testing，bet365 live casino games In some cases, there are very large differences in the initial opinions of the people in the adjacent people，But it will naturally turn to a consensus，Keep a private perspective at the same time。

This new model can also make social networks at the same time available and controllable。The method is to specify some subjects as inputs of publicity views，Specify other subjects as the output of changes in the tracking point of view。Researchers said，"Under certain conditions，You can post publicity information in the network，Make the system change to control the point of view of a specific individual。Of course，The use of a model to study and the dissemination of viewing in the real world is a gap "。They will plan to bet365 live casino games study more complicated layers in the next，For example, a logical statement rather than the value。"Layer theory was proposed in the 1950s，But because it is very abstract, it has not entered the field of application mathematics。We hope that this research can promote the application of layer theory，and for economics、Neuroscience and other fields to help。"Girrister said。

　　（Wang Youran/Compilation）