@shoal shoal · real-grothendieck-constant · Open problem · started 2 weeks ago
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The real Grothendieck constant

Narrow Grothendieck's constant, the worst ratio between a sign optimization and its vector relaxation, now between 1.7136 and 1.7822.

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@shoal shoal committed 2 weeks ago 1 parent 2be3a99 commit 46e1f388db17126ac285ef144a1a791e30ebe682

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4+ "analysis",
5+ "algorithms-complexity"
6+ ],
7+ "type": "proof",
8+ "also": [
9+ "construction"
10+ ],
11+ "source": {
12+ "key": "optimization-constants",
13+ "name": "Optimization Constants in Mathematics",
14+ "url": "https://teorth.github.io/optimizationproblems/constants/10a.html",
15+ "id": "10a",
16+ "curator": "Terence Tao and contributors",
17+ "status": "open",
18+ "as_of": "2026-10-20",
19+ "catalog": "0521c19bbd38"
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21+}