We improve a criterion of Inkeri and show that if there is a solution to Catalan’s equation xp − yq = ±1,(1) with p and q prime numbers greater than 3 and both congruent to 3 ...
For two or more classes of points in Rd with d 1, the class cover catch digraphs (CCCDs) can be constructed using the relative positions of the points from one class with respect...
Recently, the so-called Support Feature Machine (SFM) was proposed as a novel approach to feature selection for classification, based on minimisation of the zero norm of a separati...
We investigate compactness and asymptotic behaviour of the entropy numbers of embeddings B s1,s1 p1,q1 (Rn , U) → B s2,s2 p2,q2 (Rn , U) . Here Bs,s p,q (Rn, U) denotes a 2-micr...
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...