This passage sums up both the mathematical undercurrent of the book and its distinctive narrative style. Best known for ...

The Collatz conjecture is an unsolved conjecture in mathematics. It is named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, as the Ulam ...

Two mathematicians have proved that a straightforward question — how hard is it to untie a knot? — has a complicated answer.

In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.

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 ...

AI's integration is rapidly diversifying, ranging from a low-cost humanoid robot developed by a teacher in Jhansi to Google's integration of Gemini AI into Google TV.

The question seeks to find a maximum value for the area of a sofa that can slide around a 90-degree corner in a corridor of a ...

The Busy Beaver Challenge, a notoriously difficult question in theoretical computer science, is now producing answers so ...

Their findings, published on arxiv.org and in the Notices of the American Mathematical Society, detail a system where papers ...

In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it ...

Today we share: AI Industry: A Glimpse into AI's Future and Insights for Startups The report consists of: 80 pages ...