By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

This research aims to provide insights into the structure of singular matrices and their polynomial representations, which can lead to more efficient algorithms for solving related problems[3].

These are polynomial functions ... we construct in Section 2.2 the Yukawa potential inside the sphere by solving the Dirichlet boundary value problem. We develop two radial Green functions that are ...

Polynomial optimization deals with optimization problems involving polynomial objective and constraints ... nonnegative polynomial can be written as a sum of squares of rational functions, answered ...

Google’s AlphaGeometry2 AI reaches the level of gold-medal students in the International Mathematical Olympiad ...

Using nature to solve environmental damage caused by humans can work on a local level, but can nature-based solutions be scaled up enough to address climate change?

The antidote to apprehension around AI is to build products that solve real problems, and then highlight those solutions. Organizations can bring stakeholders in early and establish internal ...

The prompt requires a deep and critical analysis of Hamlet, focusing on multifaceted themes like madness and revenge. This ...

This hard-to-solve ecological problem resembles the growing issue of space debris.