Stephen Hawking’s 50-year-old theorem on how black holes merge together has been successfully tested thanks to huge advances in gravitational wave astronomy, which helped astronomers catch the waves ...

Back in 1971, the late physicist Stephen Hawking made an intriguing prediction: The total surface area of a black hole cannot decrease, only increase or remain stable. So if two black holes combine, ...

An eon ago, when only microbes dwelled on Earth, a pair of black holes some 1.3 billion light-years beyond the solar system spiraled toward each other until they crashed. The two became one big black ...

This is a preview. Log in through your library . Abstract In this note we show the consistency of majority decisions under preference conditions that are more general than Single-Peaked Preferences ...

Discovery joins a list of the greatest hits of the LIGO detector, which ten years ago became the first to detect gravitational waves. The songs of the cosmos, now that we can finally hear them, might ...

This is a preview. Log in through your library . Journal Information The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

@article{dong2025beyond, title={Beyond Limited Data: Self-play LLM Theorem Provers with Iterative Conjecturing and Proving}, author={Dong, Kefan and Ma, Tengyu}, journal={arXiv preprint ...

You can create a release to package software, along with release notes and links to binary files, for other people to use. Learn more about releases in our docs.