HF RL Explorer

Prove BernoulliNonflatInSeven (openai/math family 367: The critical dimension for the one-phase Bernoulli…

Prove BernoulliNonflatInSeven (openai/math family 367: The critical dimension for the one-phase Bernoulli…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 367 of the release, The critical dimension for the one-phase Bernoulli problem…

The task

Context: this statement belongs to family 367 of the release, *The critical dimension for the one-phase Bernoulli problem* (Partial differential equations). The family as a whole: Establishes seven as the first dimension admitting a nonflat, one-homogeneous global minimizer of the one-phase Bernoulli energy.…

Part of raising-heart/openai-math.