In this paper we introduce a particular semigroup transform $\mathcal{A}$ that fixes the invariants involved in Wilf's conjecture, except embedding dimension. It also allows one to arrange set of not ordinary and irreducible numerical semigroups family rooted trees. We study another transform, having similar features, has been introduced by Bras-Amor\'os, make comparison them. behaviour dimensi...

This letter proposes a fast implementation of the regularity-constrained discrete sine transform (R-DST). The original DST \textit{leaks} lowest frequency (DC: direct current) components signals into high (AC: alternating subbands. property is not desired in many applications, particularly image processing, since most natural images concentrate DC subband. characteristic filter banks whereby th...