OAI/Analysis/Mahler/CoordinateEuclidean.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.MahlerStokes.radiusSq_eq_euclidean_norm_sqline 12Source 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
- theorem
OAI.MahlerStokes.coordBall_eq_euclidean_ballline 16 - theorem
OAI.MahlerStokes.coordClosedBall_eq_euclidean_closedBallline 24