getdoc72ef. 171KB Jun 04 2011 12:04:31 AM
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These appear to be new expressions for the MacMahon and Eulerian numbers, in terms of Stirling numbers of the second kind.. 5.2
If there are not any other interpolation polynomial subspaces of degree less than the degree of the poly- nomials in P , then the subspace P is a minimal interpolation spaceD.
One can also consult [5] and [10] for applications of norm-entropy inequalities to the study of conditional principles of Gibbs type for empirical measures and random
Under certain assumptions on the correlation function of the process, the asymptotic behavior of the probability of such a pattern of clusters of exceedances is derived exactly
Our proof of Theorem 1.1 is based on estimates for the structure function, i.e., the spatial Fourier transform of the correlation function with respect to h·i , the
If each of the other three dikes of that neighbouring polder is higher than a, the water in the polder of O will remain at level a until the above mentioned neighboring polder
Using the uniqueness property of the mul- tivariate c-characteristic function, we then determine the distribution of the random mean of a Ferguson-Dirichlet process over the
These authors proved that the shock was characterized by the evolu- tion of a second class particle, which moved at the shock speed, and followed the characteristic lines and shocks