The present study pretends to describe an alternative way to look at Vector Spaces as a
scaffold to produce a meaningful new theoretical structure to be used in both classical and …

In order to use the structure and operations of Molecular Similarity semispaces, Natural
Vector Semispaces are considered in this study as vector spaces defined over the set of …

The role of the shadows' hypercube is presented first to define a classification of the vectors
in a vector space defined over the rational field. Up from this step, the inward product of …

The work examines the basic concepts of the theory of nonlinear dynamic systems, under
certain conditions exhibiting the properties of both perseverance and chaoticism. In …

In this study, several simple aspects associated with the periodic table (PT) of the elements
are commented. First, the connection of the PT with the structure of a seven‐dimensional …

Three sets of exact solutions of the time-dependent Schrödinger equation of a particle that is
trapped in a spherical box with a moving boundary wall have been calculated analytically …

Previous experience held in this laboratory on the subject of N-Dimensional Hypercubes, via
quantum similarity parameters, see for example references [1–12], has started constructing …

Abstract The inward (diagonal, Hadamard, Schur) vector product and the sum of the
elements of a vector are used together to generalize the scalar product of an indefinite …

In this work, we consider the empirical, computational, study of the generalized Fermat's last
theorem conjecture recently proposed using Minkowski norms defined within natural vector …

This study, at the light of a systematic computational search, provides a refined generalized
Fermat's last theorem conjecture with respect to the one, which appeared in a recent paper …