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The paper by the author [ 1 ] gives another proof of this fact along with one possible generalization of this congruence.. Moreover, for every power of 2 there exists a finite
In the two main results, the presence of the sequences related to partitions of sets or numbers, respectively, is evident: labeled topologies create set partitions (induced by
In fact, a neural network of three layers was used, the first layer having n input neurons and the third m output neurons. For the neural network driving the set of input data is
The converse is also studied: given an SDD matrix C with the structure of a k -subdirect sum and positive diagonal entries, it is shown that there are two SDD matrices whose
Our processes are obtained via a limit transition from a model of random strict partitions introduced by Borodin (1997) in connection with the problem of harmonic analysis
The infinite divisibility of probability distributions on the space P ( R ) of probability distri- butions on R is defined and related fundamental results such as the
It was shown using Stein’s method in Barbour and Xia (1999) and in ˇ Cekanaviˇcius and Vaitkus (2001) that there are probability distributions on the integers, the simplest of which
The aim of this paper is to prove that the open set Γ is con- nected using the ideas introduced in the proof of the one-dimensional case, and assuming weak regularity assumptions on
