Prove IrrationalTriangleBilliard (openai/math family 150: Weak mixing of irrational triangular billiards) in…
Prove IrrationalTriangleBilliard (openai/math family 150: Weak mixing of irrational triangular billiards) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 150 of the release, Weak mixing of irrational triangular billiards (Dynamical…
The task
Context: this statement belongs to family 150 of the release, *Weak mixing of irrational triangular billiards* (Dynamical systems and ergodic theory). The family as a whole: Proves that the billiard flow in every nondegenerate Euclidean triangle with at least one angle irrational relative to $\pi$ is weakly mixing…
Part of raising-heart/openai-math.