Prove SharpThreshold (openai/math family 186: The Friedgut–Kalai graph and hypergraph threshold conjectures)…
Prove SharpThreshold (openai/math family 186: The Friedgut–Kalai graph and hypergraph threshold conjectures)…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 186 of the release, The Friedgut–Kalai graph and hypergraph threshold conjectures…
The task
Context: this statement belongs to family 186 of the release, *The Friedgut–Kalai graph and hypergraph threshold conjectures* (Combinatorics). The family as a whole: Proves the Friedgut–Kalai threshold-width conjectures for graphs and fixed-uniformity hypergraphs. For fixed $0<\varepsilon<1/2$, every nontrivial…
Part of raising-heart/openai-math.