Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² ...

Researchers have found a new way to solve high-degree polynomial equations, previously thought impossible for 200 years. This math breakthrough reopens algebra.

The graph below shows the total number of publications each year in Algorithmic Complexity and Polynomial Threshold Functions.

A mathematician has derived an easier way to solve quadratic equation problems, according to MIT’s Technology Review. Quadratic equations are polynomials that include an x², and teachers use ...

More information: N. J. Wildberger et al, A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode, The American Mathematical Monthly (2025). DOI: 10.1080/00029890.2025.2460966 ...

Within this framework, polynomial threshold functions (PTFs) represent a class of Boolean functions expressed as the sign of a polynomial, bridging the gap between algebraic methods and ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² ...