| import Mathlib | |
| namespace OAI | |
| namespace CylinderCovering.SimplexDiameter | |
| variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] | |
| def ChordLength (S : Set E) (u : E) (r : ℝ) : Prop := | |
| 0 ≤ r ∧ ∃ x ∈ S, x + r • u ∈ S | |
| noncomputable def maxChord (S : Set E) (u : E) : ℝ := | |
| sSup {r : ℝ | ChordLength S u r} | |
| end CylinderCovering.SimplexDiameter | |
| end OAI | |