A sequence of independent random variables {X1, X2, . . .} is called a B−harmonic Bernoulli sequence if P (Xi = 1) = 1 − P (Xi = 0) = 1/(i + B) i = 1, 2, . . ., with B ≥ 0. For k ≥ 1, the count variable Zk is the number of occurrences of the k-string (1, 0, . . . , 0 } {{ } k−1 , 1) in the Bernoulli sequence.. This paper gives the joint distribution PB of the count vector Z = (Z1, Z2, . . .) of...

Abstract The work presents a novel polyhedral mechanical metamaterial based on rotating triangular prisms connected by their corners, which possesses the ability to attain large values of negative Poisson’s ratio (NPR). Through kinematic model proposed structure, we evaluate auxeticity system varying geometrical parameters polyhedrons composing elementary cell structure. results highlight pecul...

The distribution of fishes is influenced by a host of physico-chemical and biological variables, including temperature and oxygen, prey abundance, feeding or assimilation rates, and predation risk. We used hydroacoustics and midwater trawls to measure the vertical distribution of pelagic fishes during a series of research cruises on Lake Superior’s western arm in 2001 and 2004. Our objective wa...

Ecosystem indicators were investigated through the study of the trophic structure of reef fish assemblages, in separate coral reef ecosystems of the south-west lagoon of New Caledonia. In a first step, a fractional trophic level was assigned for each fish species. Abundances profiles along trophic levels were subsequently plotted in order to search for trophic changes under various level of fis...