Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

This Python tutorial explains how functions work and why they are essential for writing reusable, organized code. The lesson ...

Math difficulty is still not well understood. But a systems approach may lead to advances in diagnosis and treatment.

French historian Alexis de Tocqueville’s 1831 observations of American democracy now stand in stark contrast to modern America. His warnings about materialism and aristocracy resonate as corporate ...

Washington’s strategic failure in Iran has exposed the risks of the Trump administration’s Donroe Doctrine and unilateral actions, while the Strait of Hormuz blockade backfired, empowering Iran and ...

Science, Technology, Engineering, and Math (STEM) jobs are a key contributor to economic growth and national competitiveness. Yet STEM workers are perceived to be in short supply. This paper shows ...