| import Mathlib | |
| namespace OAI | |
| namespace Invariant233.CouplingMarginalBounds | |
| open MeasureTheory | |
| noncomputable def rho (κ m w : ℝ) : ℝ := κ * Real.sqrt (w / m) | |
| noncomputable def diagonalMass (κ m a b t : ℝ) : ℝ := | |
| 1 - 2 * rho κ m a - 2 * rho κ m b - t / m | |
| noncomputable def uniformDensity {Ω : Type*} [MeasurableSpace Ω] | |
| (μ : Measure Ω) (s : Set Ω) : Ω → ℝ := | |
| s.indicator (fun _ => (μ.real s)⁻¹) | |
| noncomputable def componentProbabilities (κ m a b t : ℝ) : Fin 5 → ℝ := | |
| ![rho κ m a, rho κ m a, rho κ m b, rho κ m b, t / m] | |
| noncomputable def componentVarianceBounds (m a b : ℝ) : Fin 5 → ℝ := | |
| ![2 / a, 2 / a, 2 / b, 2 / b, m] | |
| end Invariant233.CouplingMarginalBounds | |
| end OAI | |