Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...

This is a preview. Log in through your library . Abstract In this paper we establish maximal inequalities for ρ-mixing sequences and, as a consequence, we obtain the convergence of the expected value ...

IN this book, the theory of convergence is developed on two fundamental assumptions. The first of these is concerned with upper bounds, namely, that a certain set of numbers has in it a least number ; ...

For each gene, we characterised the distribution of sequence convergence between pairs of branches in the species phylogeny following the approach described by Castoe et al. (2009) implemented in the ...