HF RL Explorer

Prove GammaPassage (openai/math family 212: No bigeodesics and smooth limit shapes in planar first-passage…

Prove GammaPassage (openai/math family 212: No bigeodesics and smooth limit shapes in planar first-passage…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 212 of the release, No bigeodesics and smooth limit shapes in planar first-passage…

The task

Context: this statement belongs to family 212 of the release, *No bigeodesics and smooth limit shapes in planar first-passage percolation* (Probability and statistical mechanics). The family as a whole: Proves that planar first-passage percolation has no doubly infinite geodesic for iid nonnegative nonatomic edge…

Part of raising-heart/openai-math.