OAI/Probability/FreeIsing/Posterior/FieldCalculus.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem367.FinitePosterior.tiltCovariance line 15
  2. def OAI.Problem367.FinitePosterior.tiltField line 19
  3. def OAI.Problem367.FinitePosterior.tiltResponse line 22
  4. lemma OAI.Problem367.FinitePosterior.spin_mean_variance_pos line 26
  5. theorem OAI.Problem367.FinitePosterior.hasDerivAt_mean_covariance line 33
  6. theorem OAI.Problem367.FinitePosterior.hasDerivAt_tiltCovariance line 38
  7. theorem OAI.Problem367.FinitePosterior.deriv_deriv_mean line 55
  8. theorem OAI.Problem367.FinitePosterior.mean_drift_cancellation line 64
  9. theorem OAI.Problem367.FinitePosterior.mean_square_drift_cancellation line 72
  10. theorem OAI.Problem367.FinitePosterior.hasDerivAt_tiltField line 91
  11. theorem OAI.Problem367.FinitePosterior.hasDerivAt_tiltResponse line 104
  12. theorem OAI.Problem367.FinitePosterior.deriv_tiltField line 121
  13. theorem OAI.Problem367.FinitePosterior.deriv_deriv_tiltField line 127
  14. theorem OAI.Problem367.FinitePosterior.tiltField_drift_cancellation line 139
  15. def OAI.Problem367.FinitePosterior.fieldCovariance line 154
  16. lemma OAI.Problem367.FinitePosterior.fieldMean_sum_mul line 160
  17. theorem OAI.Problem367.FinitePosterior.differentiable_fieldMean line 169
  18. theorem OAI.Problem367.FinitePosterior.contDiff_fieldMean_everyOrder line 173
  19. theorem OAI.Problem367.FinitePosterior.fderiv_fieldMean_covariance_apply line 177
  20. def OAI.Problem367.FinitePosterior.fieldMeanDerivative line 195
  21. theorem OAI.Problem367.FinitePosterior.hasFDerivAt_fieldMean line 199
  22. def OAI.Problem367.FinitePosterior.fieldField line 215
  23. def OAI.Problem367.FinitePosterior.normalizedFieldCovariance line 219
  24. theorem OAI.Problem367.FinitePosterior.contDiff_fieldField line 224
  25. theorem OAI.Problem367.FinitePosterior.hasFDerivAt_fieldField line 244
  26. theorem OAI.Problem367.FinitePosterior.fderiv_fieldField_apply line 255
  27. lemma OAI.Problem367.FinitePosterior.fieldMean_coordinate_tilt line 272
  28. lemma OAI.Problem367.FinitePosterior.fieldField_coordinate_tilt line 281
  29. lemma OAI.Problem367.FinitePosterior.tiltResponse_fieldEnergy_zero line 289
  30. theorem OAI.Problem367.FinitePosterior.fieldMean_drift_cancellation line 296
  31. theorem OAI.Problem367.FinitePosterior.fieldMean_square_energy_identity line 311
  32. theorem OAI.Problem367.FinitePosterior.deriv_deriv_fieldField_coordinate line 327
  33. theorem OAI.Problem367.FinitePosterior.fieldField_drift_cancellation line 341