OAI/Geometry/Zonotope/Shear.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.DiagonalZonotope.shearline 14Source 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 …
- lemma
OAI.DiagonalZonotope.shear_matrixline 27 - theorem
OAI.DiagonalZonotope.shear_detline 42Source 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
- lemma
OAI.DiagonalZonotope.extrusionMap_eqline 46