OAI/Probability/SwitchChain/FrameSynthesis.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem315.FrameSynthesis.synthesis line 17
  2. theorem OAI.Problem315.FrameSynthesis.synthesis_apply line 25
  3. theorem OAI.Problem315.FrameSynthesis.synthesis_single line 30
  4. theorem OAI.Problem315.FrameSynthesis.adjoint_synthesis_apply line 38
  5. theorem OAI.Problem315.FrameSynthesis.synthesis_adjoint_apply line 44
  6. theorem OAI.Problem315.FrameSynthesis.gram_apply line 48
  7. theorem OAI.Problem315.FrameSynthesis.frame_energy line 53
  8. def OAI.Problem315.FrameSynthesis.normalized line 63
  9. theorem OAI.Problem315.FrameSynthesis.normalized_rank_one_eq_projection line 65
  10. theorem OAI.Problem315.FrameSynthesis.normalized_inner line 73
  11. theorem OAI.Problem315.FrameSynthesis.normalized_frame_apply line 80
  12. theorem OAI.Problem315.FrameSynthesis.normalized_frame_eq_sum_projection line 87
  13. theorem OAI.Problem315.FrameSynthesis.normalized_gram_apply line 94
  14. theorem OAI.Problem315.FrameSynthesis.normalized_frame_energy line 101
  15. theorem OAI.Problem315.FrameSynthesis.scaled_frame_apply line 112
  16. theorem OAI.Problem315.FrameSynthesis.scaled_normalized_frame_apply line 122
  17. theorem OAI.Problem315.FrameSynthesis.scaled_normalized_frame_energy line 128
  18. theorem OAI.Problem315.FrameSynthesis.half_normalized_frame_energy line 134
  19. theorem OAI.Problem315.FrameSynthesis.frame_apply_of_common_norm_sq line 144
  20. theorem OAI.Problem315.FrameSynthesis.frame_energy_of_common_norm_sq line 156