A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

A peculiar pyramidal shape, devised by mathematicians, always comes to rest on its base, slowly and uncannily righting itself when placed on other sides. The object confirms John Conway's longstanding ...

Mathematics provides tools for explanation and analysis in the physical, engineering, business and social sciences. These tools can help in areas as diverse as planning and evaluating market research, ...

How everyday things actually work behind the scenes. Met in jail, married on parole: The secret wedding of two murder convicts in Rajasthan ‘Give me your address': PM Modi to boy at Kerala rally in ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. Mathematics has long had a prominent ...

Lysosomes are dynamic organelles that receive membrane traffic input from the secretory, endocytic, autophagic and phagocytic pathways. They can also fuse with the plasma membrane. Live-cell imaging ...