The proof marks a major breakthrough—and while it doesn’t completely solve the problem for the more general version of the equations, it offers hope that such a solution is finally within reach.

The new proofs focused on a natural extension of Hilbert’s 10th problem. The extension deals with Diophantine equations whose solutions belong to number systems that are close relatives of the ...

Jan. 9—A play presented at Joplin Little Theatre appears to be a mystery about math. But beneath the surface is a story about how mental illness can affect a family. "We aren't necessarily ...

New mathematical proof helps to solve equations with random components Date: June 24, 2024 Source: University of Münster Summary: Many dynamic processes can be described mathematically with the ...

A nearly 1,000-page proof confirms it. ... Mathematicians can solve equations that have bearing on questions about the nature of black holes’ formation, evolution and stability.

Turbulence is one of the greatest mysteries of modern science. The equations that model the flow of fluids — from rivers to air currents — date back two centuries, and they work well when a fluid ...

Calcea Johnson and Ne'Kiya Jackson surprised the math world when, as seniors in high school, they produced innovative solutions to a 2,000-year-old puzzle.