OpenAI reports the sharp simplex inequality for isotropic constants
- Mathematics
In each dimension, every convex body has isotropic constant no greater than that of a simplex, with equality only for simplices.
OpenAI reports the sharp simplex inequality for isotropic constants
- Mathematics
In each dimension, every convex body has isotropic constant no greater than that of a simplex, with equality only for simplices.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
In each dimension, every convex body has isotropic constant no greater than that of a simplex, with equality only for simplices.
Why it matters
If correct, resolves the strong isotropic-constant conjecture and identifies the unique extremal bodies in every dimension.
What counts as progress
Do simplices uniquely maximize the isotropic constant in every dimension?
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OpenAI reports the sharp simplex inequality for isotropic constants