“The Book of Al Sawad” is the part that Adonis has devoted to Cafour in his famous trilogy: Book: Yesterday Place Now, after reviewing Sayf Dawla's papers, and papers Khawla, complete biography Mutanabbi book. The recipient's memory two images for Cafour, paradoxically, contradictory, first positive historical witnessed by what was said history books, a satirical poetic picture, Al-Mutanabbi dr...

The DA-T Gibbs sampler is proposed by Maris and Maris (2002) as a Bayesian estimation method for a wide variety of Item Response Theory (IRT) models. The present paper provides an expository account of the DAT Gibbs sampler for the 2PL model. However, the scope is not limited to the 2PL model. It is demonstrated how the DA-T Gibbs sampler for the 2PL may be used to build, quite easily, Gibbs sa...

Gibbs field is one of the central objects of the modern probability, mathematical statistical physics and euclidean quantum field theory. Here we define and study its natural generalization for the case when the space, where the random field is defined is itself random. Moreover, this randomness is not given apriori and independently of the configuration, but rather they depend on each other, a...

Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of various canonical ensemble theories, which equally arise from the definite microcanonical basis. Thus, the Gibbs theorem for canonical ensemble theory is not universal, and maximum entropy principle is to be appropriate...

Abstract. In this article it is shown that in a classical equilibrium canonical ensemble of molecules with s-body interaction full Gibbs distribution can be uniquely expressed in terms of a reduced s-particle distribution function. This means that whenever a number of particles N and a volume V are fixed the reduced s-particle distribution function contains as much information about the equilib...