This article proposes an algorithmic method for testing divisibility, grounded in the relationships between the multiplication tables of consecutive divisors. The algorithm generates, through an ...

Abstract: Non-negative matrix factorization (NMF) is useful in finding basis information of non-negative data. It is a new dimension reduction method. Currently, the multiplicative update method ...

Abstract: To drastically speed up Kirsch's factorization method for inverse scattering problems, we propose a novel adaptive algorithm that automatically generates nonuniform sampling points according ...

This research represents a fundamental departure from traditional integer factorization methods. Rather than relying on probabilistic algorithms (Pollard Rho ...

A novel coronavirus, named COVID-19, has become one of the most prevalent and severe infectious diseases in human history. Currently, there are only very few vaccines and therapeutic drugs against ...

While surface hopping has emerged as a powerful method for simulating non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in ...