OAI/MathematicalPhysics/DefocusingNLS/Profile/ProfileTailError.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Propagation of the strict tail disk to the actual free-profile quotient.
- theorem
OAI.DefocusingNLS.ProfileCertificate.normalized_profile_determinant_boundline 14 - theorem
OAI.DefocusingNLS.ProfileCertificate.actual_tail_errorline 32 - theorem
OAI.DefocusingNLS.ProfileCertificate.free_profile_linear_errorline 84Source documentation
The certified small error applies to the genuine logarithmic derivative.
theorem free_profile_linear_error (b z : ℝ) (hb : |b| ≤ (radius : ℝ)) (hz : |z| ≤ (radius : ℝ)) : ‖freeProfileJ ((centerB : ℝ)+b) ((centerZ : ℝ)+z)- ((b : ℂ)*centralX+(z : ℂ)*centralY)‖ < (25/1000000000000 : ℝ) := by …Mentions: OAI.DefocusingNLS.ProfileCertificate.radius, OAI.DefocusingNLS.ProfileCertificate.freeProfileJ, OAI.DefocusingNLS.ProfileCertificate.centerB, OAI.DefocusingNLS.ProfileCertificate.centerZ, OAI.DefocusingNLS.ProfileCertificate.centralX, OAI.DefocusingNLS.ProfileCertificate.centralY