Spatial dynamics of team sports exposed by Voronoi diagrams

Team sports represent complex systems: players interact continuously during a game, and exhibit intricate patterns of interaction, which can be identified and investigated at both individual and collective levels. We used Voronoi diagrams to identify and investigate the spatial dynamics of players' behavior in Futsal. Using this tool, we examined 19 plays of a sub-phase of a Futsal game played in a reduced area (20 m(2)) from which we extracted the trajectories of all players. Results obtained from a comparative analysis of player's Voronoi area (dominant region) and nearest teammate distance revealed different patterns of interaction between attackers and defenders, both at the level of individual players and teams. We found that, compared to defenders, larger dominant regions were associated with attackers. Furthermore, these regions were more variable in size among players from the same team but, at the player level, the attackers' dominant regions were more regular than those associated with each of the defenders. These findings support a formal description of the dynamic spatial interaction of the players, at least during the particular sub-phase of Futsal investigated. The adopted approach may be extended to other team behaviors where the actions taken at any instant in time by each of the involved agents are associated with the space they occupy at that particular time.

A resource for signs and Feynman diagrams of the standart model

When performing a full calculation within the standard model (SM) or its extensions, it is crucial that one utilizes a consistent set of signs for the gauge couplings and gauge fields. Unfortunately, the literature is plagued with differing signs and notations. We present all SM Feynman rules, including ghosts, in a convention-independent notation, and we table the conventions in close to 40 books and reviews.

On the analytical solutions of the Hindmarsh-Rose neuronal model

In this article we analytically solve the Hindmarsh-Rose model (Proc R Soc Lond B221:87-102, 1984) by means of a technique developed for strongly nonlinear problems-the step homotopy analysis method. This analytical algorithm, based on a modification of the standard homotopy analysis method, allows us to obtain a one-parameter family of explicit series solutions for the studied neuronal model. The Hindmarsh-Rose system represents a paradigmatic example of models developed to qualitatively reproduce the electrical activity of cell membranes. By using the homotopy solutions, we investigate the dynamical effect of two chosen biologically meaningful bifurcation parameters: the injected current I and the parameter r, representing the ratio of time scales between spiking (fast dynamics) and resting (slow dynamics). The auxiliary parameter involved in the analytical method provides us with an elegant way to ensure convergent series solutions of the neuronal model. Our analytical results are found to be in excellent agreement with the numerical simulations.

Validação da versão curta do questionário Rose de angina no Brasil

FUNDAMENTO: A angina pectoris estável é uma condição grave com poucos estudos epidemiológicos no Brasil. OBJETIVO: Validar a versão curta do questionário Rose de angina em português do Brasil para seu uso em pesquisas e estudos longitudinais. MÉTODOS: Foi recrutado um total de 116 pacientes consecutivos de uma clínica ambulatorial sem histórico de infarto do miocárdio e/ou revascularização coronariana para a aplicação de três questões do questionário Rose, abordando dor no peito após esforço. Utilizamos como padrão-ouro o teste em esteira ergométrica com o protocolo Ellestad. RESULTADOS: A versão curta do questionário Rose de angina dos 116 indivíduos submetidos ao teste de esforço em esteira ergométrica mostrou 89,7% de acurácia, 25% de sensibilidade, 92% de especificidade, 10% de valor preditivo positivo, 97,2% de valor preditivo negativo e 3,1 de razão de probabilidade positiva e 0,82 de razão de probabilidade negativa. CONCLUSÃO: A versão em português com os três itens do questionário Rose de angina é adequada para objetivos epidemiológicos.

[Phot. des Alpes de Pedriolo et Monte delle Loccie, dans la région de Macugnaga (Piémont), non loin du Mont-Rose, par E. Lamy, don E. Reclus en 1886]

Donateur : Reclus, Élisée (1830-1905)

Le Roman de la Rose : [de Guillaume de Lorris et Jean de Meung] : traduction libre et en vers / par Ét. Huard (de l'Ile Bourbon)

[Le roman de la rose (français). 1835]

Vie de sainte Rose de Lima, vierge, l'an 1617 / par Hubert Lebon

Collection : Bibliothèque des enfants pieux

Noise-induced scenario for inverted phase diagrams

We introduce a class of exactly solvable models exhibiting an ordering noise-induced phase transition in which order arises as a result of a balance between the relaxing deterministic dynamics and the randomizing character of the fluctuations. A finite-size scaling analysis of the phase transition reveals that it belongs to the universality class of the equilibrium Ising model. All these results are analyzed in the light of the nonequilibrium probability distribution of the system, which can be obtained analytically. Our results could constitute a possible scenario of inverted phase diagrams in the so-called lower critical solution temperature transitions.