OAI/Analysis/Mahler/CoordinateEuclidean.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.MahlerStokes.radiusSq_eq_euclidean_norm_sq line 12

    Source documentation

    Explicit identification with the L2 Euclidean norm, rather than the ambient supremum norm on the coordinate function space.

    theorem radiusSq_eq_euclidean_norm_sq {n : ℕ} (x : Fin n → ℝ) :
        radiusSq x = ‖(WithLp.toLp 2 x : EuclideanSpace ℝ (Fin n))‖^2 := by
    …

    Mentions: OAI.MahlerStokes.radiusSq

  2. theorem OAI.MahlerStokes.coordBall_eq_euclidean_ball line 16
  3. theorem OAI.MahlerStokes.coordClosedBall_eq_euclidean_closedBall line 24