1, Elo scoring system is a scoring system applied to various competitions, originally designed for the ranking of chess. It has applications in football games, basketball games and other fields. The system can predict the game results by comparing the classification levels between two teams, and update these levels to reflect the game results.

2. Projection pursuit theory is a statistical method, which predicts the performance of teams and players by analyzing a large number of players and game data. Projection pursuit has become a common method in football field.

3. Pythagorean expectation theory is a statistical method, which aims to predict the outcome of future games according to the actual score and luck factors of the team. The theoretical results have been widely used in various football leagues and tournaments.

4. Applying the theoretical results of shooting angle to football match, the purpose is to analyze the angle at which players should shoot, so as to improve the possibility of scoring goals. The theoretical results can help athletes and coaches make better decisions and improve the winning rate of the competition. Football is closely related to mathematics, and many mathematical theories are applied in the field of football.