In this repository, I publish the Python code of the factorization algorithm designed in my master thesis. This algorithm leverage the properties of continued fractions and quadratic forms. It has as ...

Finding Congruences of Squares: The algorithm searches for numbers that, when squared, are congruent to the target number modulo a given base. This process identifies potential factors. Linear Algebra ...

Abstract: Matrix factorization is a popular framework for modeling low-rank data matrices. Motivated by manifold learning problems, this paper proposes a quadratic matrix factorization (QMF) framework ...

ABSTRACT: In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...