Independent and Collective Behavior Within Atoms and Molecules

2007 ◽  
pp. 35-51 ◽  
Author(s):  
R. Stephen Berry ◽  
Jeffrey L. Krause
Keyword(s):  
Collective Behavior ◽  
Atoms And Molecules

MANY-BODY THEORY FOR HYPERFINE EFFECTS IN ATOMS AND MOLECULES

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-99-C4-104
Author(s):  
T. P. DAS ◽  
C. M. DUTTA ◽  
N. C. DUTTA
Keyword(s):  
Many Body ◽  
Atoms And Molecules ◽  
Many Body Theory ◽  
Body Theory

Voronoi Analysis of a Soccer Game

2004 ◽  
Vol 9 (3) ◽  
pp. 233-240 ◽  
Author(s):  
S. Kim
Keyword(s):  
Collective Behavior ◽  
Quantitative Assessment ◽  
The Other ◽  
Analysis Method ◽  
Random System ◽  
Soccer Game ◽  
Voronoi Polygons ◽  
The Mean

This paper describes a Voronoi analysis method to analyze a soccer game. It is important for us to know the quantitative assessment of contribution done by a player or a team in the game as an individual or collective behavior. The mean numbers of vertices are reported to be 5–6, which is a little less than those of a perfect random system. Voronoi polygons areas can be used in evaluating the dominance of a team over the other. By introducing an excess Voronoi area, we can draw some fruitful results to appraise a player or a team rather quantitatively.

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