By using a generating function approach it is shown that certain functionals of digitial expansion (related to speciic nite linear recurrences), e.g. the number of speciic digital patterns, satisfy a central limit theorem. We provide asymptotic expansions for mean value and variance and prove a global and a local limit law.

*Correspondence: John Veron, Coral Reef Research, 10 Benalla Road, Oak Valley, Townsville, QLD 4811, Australia e-mail: j.veron@ coralreefresearch.com This publication is an overview of a detailed study of coral distribution, diversity and affinities worldwide. The species distribution maps in www.coralsoftheworld.com are based on comprehensive global assessments of the world’s 150 coral ecoregi...

Enterocytes are unique cells governing an array of processes. They are covered by the gut glycocalyx, which is an extraneous carbohydrate-rich coat and an integral part of the plasma membrane. The intestinal glycocalyx and secreted mucins constitute a glycosylated milieu which has a number of physiological and protective functions. One of the important functions of the glycocalyx is its barrier...

Ten epithelial-specific monoclonal antibodies, including monoclonal antibodies to antigens that have been used extensively in immunodiagnosis and immunotherapy experiments, were tested for reactivity with 20 human carcinomas each of the colon, lung, and breast. The antibodies tested included B72.3, OC125, and antibodies to carcinoembryonic anti gen, the 17-1A antigen, and the milk fat globule m...

In this paper the concept of later waiting time distributions for patterns in multi-state trials is generalized to cover a collection of compound patterns that must all be counted pattern-specific numbers of times, and a practical method is given to compute the generalized distribution. The solution given applies to overlapping counting and two types of non-overlapping counting, and the underly...

This work analyzed genome-wide nucleotide distribution patterns in ten insect genomes. Two internal measures were applied – (i) GC variation and (ii) third codon nucleotide preference. Although the genome size and overall GC level did not show any correlation with insect order, the internal measures usually displayed higher levels of consistency. GC variations in genomes of hymenopteran insects...

Let Tn denote the set of unrooted labeled trees of size n and let M be a particular (finite, unlabeled) tree. Assuming that every tree of Tn is equally likely, it is shown that the limiting distribution as n goes to infinity of the number of occurrences of M as an induced subtree is asymptotically normal with mean value and variance asymptotically equivalent to μn and σn, respectively, where th...