Prove PinnedDistances (openai/math family 167: Pinned distances and a power saving for planar unit…
Prove PinnedDistances (openai/math family 167: Pinned distances and a power saving for planar unit…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 167 of the release, Pinned distances and a power saving for planar unit distances…
The task
Context: this statement belongs to family 167 of the release, *Pinned distances and a power saving for planar unit distances* (Combinatorics). The family as a whole: Proves the weak pinned Erd\H{o}s distance conjecture: for every fixed $\varepsilon>0$, all but $o(n)$ points of any $n$-point planar set determine at…
Part of raising-heart/openai-math.