Abstract: With the development taking place these days in information technology and protecting data security of data transmitted over the internet, there is an urgent and necessary need in order to ...

This Python script solves a general cubic equation of the form: It uses a combination of normalization, Cardano's method, and complex number handling to compute all three roots—real or complex.

A new approach to solving cubic equations using hyper-Catalan numbers and infinite series, based on the work of Wildberger & Rubine (2025). Traditional methods for solving cubic equations rely on ...

Building on two centuries' experience, Taylor & Francis has grown rapidly over the last two decades to become a leading international academic publisher. The Group publishes over 800 journals and over ...

ABSTRACT: The present study deals with a traditional physical problem: the solution of the Kepler’s equation for all conics (ellipse, hyperbola or parabola). Solution of the universal Kepler’s ...

ABSTRACT: It is proved in this paper that Abel’s and Galois’s proofs that the quintic equations have no radical solutions are invalid. Due to Abel’s and Galois’s work about two hundred years ago, it ...