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An OpenAI Model Disproves a Central Conjecture in Discrete Geometry

An OpenAI Model Disproves a Central Conjecture in Discrete Geometry

An OpenAI model has achieved a historic milestone by producing a counterexample to the Erdős unit distance conjecture, a long-standing problem in discrete geometry. The result shows that there are sets of points in the plane with more unit-distance pairs than Erdős’s...

U.S.-Japan Coordination in the Indo-Pacific

U.S.-Japan Coordination in the Indo-Pacific

President Donald J. Trump and Prime Minister Ishiba Shigeru held their first official meeting Feb 7, 2025 in Washington, D.C., where they affirmed their determination to pursue a new golden age for U.S.-Japan relations that upholds a free and open Indo-Pacific and...