OpenAI says its models proved the local smoothing conjecture in every dimension, resolving Kakeya and Stein, with a Lean ...

"Crime in Japan has plummeted over the last 20 years, and the clearance rate has doubled. Japan is becoming an increasingly ...

Researchers have derived the first complete, necessary and sufficient characterization of the stability region for ...

Inputs: notes/selection/H1_yangliao_20261012.md (PARTIAL: Theorem 1.3 located, full proof not accessible -> H1 stays deferred), notes/selection/catalogue_20261012b.md ...

For many football players, reaching the NFL is the pinnacle. But for one former star, education kept calling his name. Many around the league were in sheer disbelief when John Urschel, the ...

{\small Judging and evaluation record: the submissions discussed in this document have been judged and evaluated by Alejandro Zarzuelo Urdiales for OpenMath 2026. This dated review records the stated ...

This is a list of the most important key formulas in Chapter 4 (Bernoulli's Theorem: Energy Conservation, Head Loss, Pitot Tube). ・ Bernoulli's Theorem: This is the "Law of Conservation of Energy" in ...

A machine has finished the most famous proof in mathematics in eleven days. The next decade belongs to whoever can tell the truth from output Sometime around 1637, a French lawyer named Pierre de ...

AI company Anthropic has created a formalised proof of Fermat’s last theorem. It took just 11 days for a group of AI agents to complete the task, confirming that the human-found proof proposed in the ...

We are sharing the first complete computer-checked proof of Fermat’s Last Theorem. Claude worked largely autonomously over 11 days to write the proof in the Lean programming language. Below, we ...

The audio version of this article is generated by AI-based technology. Mispronunciations can occur. We are working with our partners to continually review and improve the results. A partial lunar ...

A partial solar eclipse today will be visible in parts of the United States, but Europe will get the best views. In the United States, this eclipse won't be as big a sky-watching event as the April 8, ...