论文信息 - A structural analysis of a game: The Liverpool v Manchester united cup final of 1977☆

A structural analysis of a game: The Liverpool v Manchester united cup final of 1977☆

Abstract A team is more than the sum of its individual players, and so implies a structure of relations on the set. The q-analysis, or polyhedral dynamics, of Atkin is chosen to define and operationalise intuitive notions of structure in a soccer match between Liverpool and Manchester United. The injection of q-holes, or obtrusive objects, by the defense of one team appears to contribute to the fragmentation and loss of the other.

Anthony C. Gatrell | Peter Gould | P. Gould | A. Gatrell

[1] Ian H. Witten,et al. Fred CHAMP, positional-chess analyst , 1976 .

[2] C. Reep,et al. Skill and Chance in Association Football , 1968 .

[3] Ron Atkin,et al. Mathematical structure in human affairs , 1976 .

[4] D. Landers,et al. Team Interaction and the Emergence of Leadership and Interpersonal Attraction in Field Hockey , 1979 .

[5] Ian H. Witten,et al. A Multi-Dimensional Approach to Positional Chess , 1975, Int. J. Man Mach. Stud..

[6] R. H. Atkin,et al. Multi-dimensional structure in the game of chess , 1972 .