Symbol n
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A cap set is a subset of the grid \{0,1,2\}^n with one rule: no three distinct points in it are allowed to sum to zero coordinate-wise modulo three. The largest such set in eight dimensions had been 496 points since 1994. In December 2023, a Google DeepMind system called FunSearch reported one with 512 [ 1 ] . DeepMind’s own announcement called it the largest jump in cap set sizes in twenty years [ 3 ] . Both of those claims check out — this article verified the 512-point construction and the ablation data behind it directly against the paper’s own supplementary material, not against the press release alone [ 2 ] . The question this article asks is not whether FunSearch found something real.…
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Equation 1 · Technological Evolution
FunSearch Found New Mathematics Without Ever Understanding the Problem
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
A cap set is a subset of the grid \{0,1,2\}^n with one rule: no three distinct points in it are allowed to sum to zero coordinate-wise modulo three. The largest such set in eight dimensions had been 496 points since 1994. In December 2023, a Google DeepMind system called FunSearch reported one with 512 [ 1 ] . DeepMind’s own announcement called it the largest jump in cap set sizes in twenty years [ 3 ] . Both of those claims check out — this article verified the 512-point construction and the ablation data behind it directly against the paper’s own supplementary material, not against the press release alone [ 2 ] . The question this article asks is not whether FunSearch found something real.…
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