“Our goal was to build a clear mathematical bridge between abstract algebra and the experience of listening to music,” said study co-author Olga Ibragimova. “When we think of melodies as shapes we can ...

AI systems are beginning to produce proof ideas that experts take seriously, even when final acceptance is still pending. Test-time reasoning changes the game: Instead of answering instantly, models ...

Five Carnegie Mellon University faculty members are among the 126 recipients of 2026 Sloan Research Fellowships, which honor early career scholars whose achievements put them among the best scientific ...

The total energy of the ball consists of its potential energy (related to position) plus its kinetic energy (related to motion). To zero out both components, you would have to give a precise value to ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

When a cell divides, it performs a feat of microscopic choreography—duplicating its DNA and depositing it into two new cells. The spindle is the machinery behind that process: It latches onto ...

Choosing A-Levels can feel stressful for both students and parents. Some subjects are known to be harder because they need strong maths skills, long essays, or complex problem-solving. Many families ...

Arch Capital Group Ltd. ( ACGL) Q4 2025 Earnings Call February 10, 2026 10:00 AM EST Good day, ladies and gentlemen, and welcome to 4Q 2025 Arch Capital Earnings Conference Call. [Operator ...

Q4 2025 Earnings Call February 12, 2026 11:00 AM ESTCompany ParticipantsLiz Hunter - Vice President of Investor ...

Exploration of algorithms, recursion, recurrences, asymptotics, relations, graphs, and trees with practical implementations.