Analysis of competitiveness in the NBA regular seasons

[EN] Research background and hypothesis. Several attempts have been made to understand some modalities of sport from the point of view of complexity. Most of these studies deal with this phenomenon with regard to the mechanics of the game itself (in isolation). Nevertheless, some research has been conducted from the perspective of competition between teams. Our hypothesis was that for the study of competitiveness levels in the system of league competition our analysis model (Shannon entropy), is a useful and highly sensitive tool to determine the degree of global competitiveness of a league. Research aim. The aim of our study was to develop a model for the analysis of competitiveness level in team sport competitions based on the uncertainty level that might exist for each confrontation. Research methods. Degree of uncertainty or randomness of the competition was analyzed as a factor of competitiveness. It was calculated on the basis of the Shannon entropy. Research results. We studied 17 NBA regular seasons, which showed a fairly steady entropic tendency. There were seasons less competitive (? 0.9800) than the overall average (0.9835), and periods where the competitiveness remained at higher levels (range: 0.9851 to 0.9902). Discussion and conclusions. A league is more competitive when it is more random. Thus, it is harder to predict the fi nal outcome. However, when the competition is less random, the degree of competitiveness will decrease signifi cantly. The NBA is a very competitive league, there is a high degree of uncertainty of knowing the fi nal result.

Estudio de los sonidos emitidos por las crías de tortuga boba, Caretta caretta, en el momento de la eclosión

Las crías Caretta caretta durante la eclosión y antes de salir del nido, emiten sonidos asociados a crujido y raspado del corion, así como chillidos, silbidos y tos, en un rango de frecuencia entre los 300 y 2600 Hz. No obstante, los silbidos y chillidos, que pueden ser asociables a un sistema de vocalización, se emiten a una frecuencia (1500-2600 Hz) mucho mayor al rango de sensibilidad descrito para esta especie (250-1000 Hz) y por tanto imperceptibles para ellas. Sin embargo, los sonidos producidos como consecuencia de ejercicios de respiración y expulsión de arena de las vías respiratorias, acompañados de tos (300-1200 Hz), por parte de las crías recién eclosionadas, son los únicos sonidos que podrían servir de señal y estimulación a la eclosión del resto de crías en el nido. ABSTRACT The hatchlings Caretta caretta, during the eclosion and before the abandon of their nest, produce sounds associated to creakling and scrape of the eggshell, and howl, whistle and cough, in a frequency range between 300 and 2600 Hz. Nevertheless, the howls and whistles, that could be associated to a vocalization apparatus, were emitted at a higher frequency (1500-2600 Hz) than the auditory range describe for this species (250-1000 Hz), and therefore probably inaudible for them. However, sounds generated as a consequence of breathing exercises and sand expulsion from the airways through coughs (300- 1200 Hz), by the recently hatched turtles, could be used as signal or stimulus for the hatch of the reminder eggs in the nest.