OAI/NumberTheory/Ostmann/Construction/ScheduledAnalyticParameters.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Fixed gap constants and a common large depth for the constructed schedule

  1. def OAI.Ostmann.scheduledInitialRate line 10
  2. def OAI.Ostmann.scheduledIterationRate line 12
  3. theorem OAI.Ostmann.scheduled_gap_parameters line 15

    Source documentation

    Both gap constants are chosen before the depth and before any selected cells.

    theorem scheduled_gap_parameters : ∃ Bs BD : ℝ,
    1 ≤ Bs ∧ Bs + 1 ≤ BD ∧
    2 * ((4 - 2 * Real.log (1 / 320000)) + 2 + 2 * Real.log 4 +
      (4 * (Real.log 2 + 2) + 2 * Real.log 2 + 4) + 3) ≤ Bs - 1 ∧
    (Bs + 1) + 2 * scheduledIterationRate +
      (Real.log 2 - Real.log (1 / 16000 : ℝ) + 5 / 4 + 1 + Real.log 12 + 1 + 1) + 6 ≤
      BD - 1 := by
…

    Mentions: OAI.Ostmann.scheduledIterationRate

  4. theorem OAI.Ostmann.eventual_scheduled_depth_reserves line 40