import OAI.Geometry.CylinderCovering.Caps.CapsDefinitions namespace OAI noncomputable section namespace CylinderCovering.HalfHeightCaps.FractionalEstimates def P (x : ℝ) : ℝ := 1 / 4 + x ^ 2 def g (x : ℝ) : ℝ := x ^ 2 * P x end CylinderCovering.HalfHeightCaps.FractionalEstimates end end OAI