The discovery of bright yet stable pigments is vanishingly rare, making them hugely valuable. Now chemist Mas Subramanian is unpicking the atomic code of colour and homing in on our most-wanted hue ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

Abstract: Geometry Problem Solving has drawn growing attention recently due to its application prospects in intelligent ed-ucation field. However, existing methods are still inade-quate to meet the ...

Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to solve basic math problems – such as lining up numbers to add, starting with ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...

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We propose Pi-GPS, a novel framework for geometry problem solving that leverages diagrammatic information to resolve textual ambiguities. Our approach combines multi-modal understanding with symbolic ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

AlphaEvolve, an AI that “evolves” code solutions, rediscovered and improved proofs for the finite-field Kakeya conjecture. Gemini Deep Think verified the logic, and AlphaProof formalized the ...

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 ...