Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

Many people who try using AI are disappointed with the results and feel they can’t trust a machine – but are there lessons we ...

Michael Amama, a Manhattan High School sophomore, created a digital art piece built entirely through math equations. For many ...

ABSTRACT: Darcy’s law is the fundamental equation describing the flow of a fluid through a porous medium. Combined with the principle of mass conservation, it leads to the diffusion Equation (e.g., ...

Researchers Brad Theilman, center, and Felix Wang, behind, unpack a neuromorphic computing core at Sandia National Laboratories. While the hardware might look similar to a regular computer, the ...

In a world run by computers, there is one algorithm that stands above all the rest. It powers search engines, encrypts your data, guides rockets, runs simulations, and makes the modern digital ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

If you’ve ever shuffled a deck of playing cards, you’ve most likely created a unique deck. That is, you’re probably the only person who has ever arranged the cards in precisely that order. Although ...

Algorithms, examples and tests for denoising, deblurring, zooming, dequantization and compressive imaging with total variation (TV) and second-order total generalized variation (TGV) regularization.