OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/NormalizationSchedule.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

A fixed polynomial schedule for the actual normalization integral. The outer square grows linearly with inverse accuracy; both nested mesh counts and the inner resolvent accuracy are explicit natural polynomials.

  1. def OAI.ContinuumCoulomb.NormalizationSchedule.meshPrefix line 15
  2. def OAI.ContinuumCoulomb.NormalizationSchedule.mesh line 16
  3. def OAI.ContinuumCoulomb.NormalizationSchedule.accuracyPrefix line 17
  4. def OAI.ContinuumCoulomb.NormalizationSchedule.accuracy line 18
  5. def OAI.ContinuumCoulomb.NormalizationSchedule.input line 20
  6. def OAI.ContinuumCoulomb.NormalizationSchedule.approximate line 24
  7. theorem OAI.ContinuumCoulomb.NormalizationSchedule.radius_positive line 26
  8. theorem OAI.ContinuumCoulomb.NormalizationSchedule.mesh_positive line 28
  9. theorem OAI.ContinuumCoulomb.NormalizationSchedule.input_step_nonnegative line 33
  10. theorem OAI.ContinuumCoulomb.NormalizationSchedule.input_endpoint line 39
  11. theorem OAI.ContinuumCoulomb.NormalizationSchedule.input_node_mem line 46
  12. theorem OAI.ContinuumCoulomb.NormalizationSchedule.input_nodes_norm line 55
  13. theorem OAI.ContinuumCoulomb.NormalizationSchedule.numerical_budget line 64
  14. theorem OAI.ContinuumCoulomb.NormalizationSchedule.approximation_error line 97