OAI/Geometry/Convex/GeneralMahler/MatrixDeriv.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Derivative of spectral function of linear field. Avoid polynomial approximation by exact secant identity and Borel frame compactness.

  1. def OAI.GeneralMahler.Frm.DL line 14
  2. lemma OAI.GeneralMahler.Frm.cont_DL line 20
  3. lemma OAI.GeneralMahler.Frm.DL_ind line 37
  4. lemma OAI.GeneralMahler.mat_poly line 48
  5. lemma OAI.GeneralMahler.unitPoly line 59
  6. lemma OAI.GeneralMahler.unitStarPoly line 62
  7. lemma OAI.GeneralMahler.poly_eig line 64
  8. lemma OAI.GeneralMahler.poly_sec line 69
  9. lemma OAI.GeneralMahler.clm_poly_from line 78
  10. def OAI.GeneralMahler.ProjField.ell line 97
  11. lemma OAI.GeneralMahler.ProjField.ell_eq line 99
  12. def OAI.GeneralMahler.ProjField.Ld line 100
  13. lemma OAI.GeneralMahler.ProjField.hasdl line 104
  14. lemma OAI.GeneralMahler.ProjField.dPoly line 165
  15. lemma OAI.GeneralMahler.ProjField.LD_reg line 170
  16. lemma OAI.GeneralMahler.ProjField.ell_M line 178
  17. lemma OAI.GeneralMahler.ProjField.mder_frame line 181