The purpose of this study was to characterise Brazilian teams' coverage area and spread on the pitch while attacking and defending and to analyse the teams' organisation in tackle and shot on goal situations. We obtained the trajectories of 223 players in eight games with a tracking method. Team area was defined as the area of the convex hull formed by players' positions. Team spread was defined as the Frobenius norm of the distance-between-player matrix. We calculated teams' area and spread over time and in situations of shots on goal (n = 233) and tackles (n = 1897). While the players attacked, spread and area (median +/- confidence interval) ranged from 322.9 +/- 0.8 to 387.8 +/- 1.0 m and from 905.4 +/- 4.4 to 1407.6 +/- 5.5 m2, respectively. On defence, the values were smaller (p < 0.05) and ranged from 283.4 +/- 0.9 to 325.8 +/- 0.9 m and from 773.8 +/- 4.6 to 1158.4 +/- 5.5 m2 for the spread and the area. In defending circumstances, the teams presented a greater area and spread when they suffered shots on goal than when the teams performed tackles. In attacking situations, the teams presented a greater area and spread when they suffered tackles than when they performed shots on goal. The results allowed showing the attacking-defending interaction between Brazilian teams.

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The purpose of this study was to analyse the dynamics of play based on dyads during soccer matches, according to the competition level, period of the matches, and playing positions. We recorded eight Brazilian soccer matches (four of the national and four of the regional level), using up to six digital cameras (30 Hz). The position information of the 204 players in the eight matches was obtained using an automatic tracking system. The Euclidean distance between the nearest opponents was calculated over time to define the dyads. The interaction between the components of dyads was assessed by the distances between players and was compared among the different positions (defender, full-back, defensive midfielder, midfielder, and forward), match periods (15, 30, 45, 60, 75, and 90 min), and competition levels. Results showed smaller distances for the national level dyads, compared to the regional matches. Greater distances between the players were found in the last 15 minutes of the matches, compared to the other periods. The full-backs were more distant from opposing players compared to players from other playing positions. Thus, coaches should consider the characteristics of each playing position and the greater proximity between opponents’ players in top-level competition for the development of tactical proficiency of the players.

This paper presents a method for minimizing test suites for embedded, nondeterministic Finite State Machines. The method preserves the fault coverage of the original test suite, and can be used in conjunction with any technique for generating test suites. The minimization is achieved by detecting and deleting redundant test cases in the test suite. The proposed method is an extension of the work presented in [Yevtushenko et al., 1998].

Abstract. This paper presents an analysis of the fault coverage provided by the UIO-based methods for testing communications protocols. Formal analysis of the fault coverage for the non-optimized method and for some of its optimized versions are presented. A test is said to provide full coverage if no erroneous implementation can pass the test. In the case of optimizations based on the Rural Chinese Postman Tour [1] it is shown that unless certain conditions are met the method does not guarantee full fault coverage, even when, as suggested in [3], the uniqueness of UIO sequences (or Partial UIO sequences) are verified in the implementation. The result of the analysis suggests how the existing methods for generating test sequences should be changed in order to guarantee full fault coverage.