The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

No team in Europe’s big five leagues has conceded more set-play goals (12) than Liverpool this season. It has become Arne Slot's kryptonite. Newcastle, Crystal Palace, Manchester United, Brentford, ...

Optimization problems often involve situations in which the user's goal is to minimize and/or maximize not a single objective function, but several, usually conflicting, functions simultaneously. Such ...

Editor's Note: This is the ninth and final in our series on Chief AI Officers in Healthcare. Other CAIO profiles include Dennis Chornenky at UC Davis Health, Dr. Karandeep Singh at UC San Diego Health ...

Washington has an urgent math problem. Nearly one in three students cannot demonstrate basic grade-level skills, and among low-income students it’s almost one in two. In a state that prides itself on ...

In what can be a lonely field for women even during the best of times, Marisol Hernández’s first year in engineering school coincided with the COVID-19 pandemic, when classes were held remotely rather ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational ...

What if the next new mathematical discovery didn’t come from a human mind, but from an AI? Imagine a machine not just crunching numbers but proposing original solutions to problems that have baffled ...

1 Department of Public Basic Education, Fuyang Institute of Technology, Fuyang, China 2 The Faculty of Education, Languages, Psychology and Music, SEGi University, Kota Damansara, Selangor, Malaysia ...

See the world through the lens of science. Sign up for our free, daily newsletter Today in Science. As a child of the 1990s, I couldn’t avoid the game-turned-best-seller Tetris. Launched in 1984 by ...