OAI/Geometry/SurfaceImmersion/Correction/AtlasPolynomialLocalModel.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A single local polynomial models the global perturbation, with its first and second variations, on the entire compact chart support.

  1. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.atlas_polynomial_representation_on_support line 31
  2. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.atlas_polynomial_local_model line 53
  3. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.PolynomialQuadraticRepresentation line 84

    Source documentation

    The same local polynomials represent the global quadratic variation.

    def PolynomialQuadraticRepresentation {n : A.centers → ℕ} {m : ℕ}
    (P : ∀ j : A.centers, Fin 3 → Fin (n j) → Expression)
    (Q : A.centers → Fin 3 → Fin m → Expression) : Prop :=
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