OAI/Geometry/Zonotope/Shear.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.DiagonalZonotope.shear line 14

    Source documentation

    The determinant-one shear that supplies the linear part of a facet extrusion.

    def shear (i : ι) : (ι → ℝ) →ₗ[ℝ] (ι → ℝ) where
    …
  2. lemma OAI.DiagonalZonotope.shear_matrix line 27
  3. theorem OAI.DiagonalZonotope.shear_det line 42

    Source documentation

    No absolute determinant factor is lost in the extrusion parameterization.

    theorem shear_det (i : ι) : LinearMap.det (shear i) = 1 := by
    …

    Mentions: OAI.DiagonalZonotope.shear

  4. lemma OAI.DiagonalZonotope.extrusionMap_eq line 46