Algebraic factorization and semigroup theory form a cornerstone of contemporary abstract algebra, investigating how elements within algebraic structures decompose into irreducible components, or atoms ...

The PPF framework extends classical number theory by treating -1 as a special "Sign Prime", creating multiple valid factorizations for integers and enabling a number-theoretic model of quantum ...

Abstract: An algorithm for algebraic factorization of single-output functions is presented. The algorithm is based on the generation of some products covering a set of true cubes suitably chosen. The ...

Breast cancer is a heterogeneous disease, with reproducible and prognostically important subclasses. Breast cancer cell lines are widely used to study preclinical investigational agents, but the ...

Abstract: Sparse LU factorization is a key tool in the solution of large linear set of algebraic equations encompassing a wide range of computing applications. Recent advances in this field exploit ...

The behavior of the scattering amplitude in the vicinity of a physical Landau singularity is considered. It is shown that its singular part may be written as an algebraic product of the scattering ...