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The ratio of the inversion probability mass function to the standard normal density scaled by the nonzero inversion numbers... The curves are rescaled in this figure so that
is ordered according to generation by cyclic shift, the rank of a permutation written in this number system entirely specifies how the permutation is generated.. This number system is
From this figure it is clear that the counter-propagation network is composed of three layers: an input layer that reads input patterns from the training set and forwards them to
Stanley, On the number of open sets of finite topologies, J. Stephen, Topology on finite
In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
This paper deals with the enumeration of k -colored Motzkin words according to various parameters, such as the length, the number of rises, the length of the initial rise and the
We know from the Minimax Theorem that given the realization of X there will be optimal strategies for the two players and we shall mainly study the number of rows (columns) that
In the original Bak-Sneppen model [3] a finite number of species are arranged in a circle, each species being characterized by its location and a parameter representing the fitness
