let  be a sequence of arbitrary random variables with  and , for every  and  be an array of real numbers. we will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on  and sequence .

The rapidly accumulating genome sequence data allow researchers to address fundamental biological questions that were not even asked just a few years ago. A major problem in genomics is the widening gap between the rapid progress in genome sequencing and the comparatively slow progress in the functional characterization of sequenced genomes. Here we discuss two key questions of genome biology: ...

Cyanogen bromide treatment of reduced, S-carboxymethylated phosphoglycerate kinase yielded 14 major peptides, CNBr-1 (20 residues), CNBr-2 (8 residues), CNBr-3 (33 residues), CNBr-4 (11 residues), CNBr-5 (104 residues), CNBr-6 (14 residues), CNBr-7 (37 residues), CNBr-8 (7 residues), CNBr-9 (6 residues), CNBr-10 (11 residues), CNBr-11 (19 residues), CNBr-12 (42 residues), CNBr-13 (44 residues),...

The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, ${0})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of closed prime ideals. Moreover, $B$ is known to be complete in its metric. Togethe...