This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...

Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers. On its ...

Given a nonempty compact connected subset $X\subset {\Bbb S}^{2}$ with complement a simply-connected open subset $\Omega \subset {\Bbb S}^{2}$, let Dome(Ω) be the ...

AI conundrum is a story that has been retold for millennia, and the current zeitgeist was predicted more than 30 years ago, ...

Editorial Note: Talk Android may contain affiliate links on some articles. If you make a purchase through these links, we will earn a commission at no extra cost to you. Learn more. If ever a game ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

The use of facial recognition is controversial, but one United Kingdom-based chain has been open about using it. If the ...

Amidst speculation Mercedes may have the best power unit on the grid next season, F1 TV’s Alex Jacques has pondered whether Lewis Hamilton has backed the wrong horse for F1 2026. Swapping Mercedes for ...

Embattled Oklahoma State Superintendent Ryan Walters’ effort to quash dissent on his plans to enact Christian and pro-Trump content into state schools' curriculum was slapped down Friday by a ...