OAI/Geometry/SurfaceImmersion/Correction/FiniteOrderSmoother.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A concrete smoother of any prescribed finite approximation order.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.finiteSmooth line 17

    Source documentation

    The finite sum S + S(I-S) + ... + S(I-S)^(n-1).

    def finiteSmooth (n : ℕ) (s : ℝ) (f : Base → E) : Base → E :=
…
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.finiteSmooth_eq line 20
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.finiteSmooth_smooth line 31
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.finiteSmooth_compact line 36
  5. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.fderiv_finiteSmooth line 41