Abstract: Metaheuristic algorithms have demonstrated strong effectiveness in solving complex real-world optimization problems. This paper presents two discrete metaheuristic approaches for the ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

OpenAI’s latest artificial intelligence model has achieved a breakthrough that is attracting attention far beyond the technology industry after reportedly solving a mathematical problem that had ...

A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...

Abstract: This letter presents an output feedback approach to distributed optimal formation control of linear time-invariant multiagent systems. The formation control problem is formulated as a ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

An artificial intelligence (AI) model has solved an 80-year-old math problem in a feat hailed as a major milestone for AI's mathematical ability. The planar unit distance problem, first posed by ...

The tech giant says a breakthrough in data center networking has dramatically accelerated the flow of information through its massive cloud infrastructure. The new technology hinges on a “quasi-random ...

Bruce M. Beehler is a naturalist and author whose most recent book is “Flight of the Godwit: Tracking Epic Shorebird Migrations.” When I was 10, I learned the cost of free-roaming dogs the hard way.

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Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...