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785c727 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | import OAI.Geometry.CylinderCovering.Rational.FieldDefinitions
namespace OAI
open MeasureTheory
noncomputable section
namespace SlopeRational
def baseDomain : Set Plane := wedge ∩ {z | 0 ≤ z 1}
def energyDensity (d : ℝ) (z : Plane) : ℝ :=
(a d (z 0) (z 1))^2 + (1/2)*(b d (z 0) (z 1))^2
def energyIntegral (d : ℝ) : ℝ := (1/2) * ∫ z in baseDomain, energyDensity d z
end SlopeRational
end
end OAI
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