Results on singular products of the distributions and for natural are derived when the products are balanced so that their sum exists in the distribution space. These results follow the pattern of a known distributional product published by Jan Mikusiński in 1966. The results are obtained in...

Results on products of the distributions and δ () with coinciding singularities are derived when the products are balanced so that they exist in the distribution space. These results follow the idea of a known result on distributional products published by Jan Mikusiński in 1966. They are...

This note presents a pair of specialized integers factorization algorithms. The first algorithm can factor odd composite integers into two nearly equal factors, assuming their existence, and the second algorithm can factor a large class of composite integers = that meet certain criterion

This paper contains some new aspects on harmonic analysis on finite Heisenberg groups. We figure out the dual and compile further results – Whereat we do not restrict us to finite fields nor to finite local rings. We give an outlook including interesting nilpotent groups of class 3. The...

Several results on compactification of quasi-uniform hyperspaces are obtained. For instance, we prove that if denotes the family of all nonempty closed subsets of a quasi-uniform space and the Bourbaki quasi-uniformity of , then is *-compactifiable if and only if is closed symmetric and...

Let (, ) be a topological space. A point is in the —closure of A, denoted by cl, if each closed neighbourhood of intersects . The pair (, cl) is a closure space, also called a neighbourhood space. A subset is —closed if = cl. —closed sets are closed sets for a new topology on the set . The...

The construction of simple classification rules is a frequent problem in medical research. For example a difference in overall survival time may suggest distinct types, i.e. subgroups of patients, of diffuse large B-cell lymphoma identified by gene expression profiling. Maximally selected rank...