OAI/NumberTheory/Ostmann/Arithmetic/MovingWindowedSpectators.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.Ostmann.movingWindowedSpectatorWeight line 12
2. theorem OAI.Ostmann.movingWindowedSpectatorWeight_norm line 21
3. theorem OAI.Ostmann.movingWindowedSpectatorWeight_cells line 41
4. theorem OAI.Ostmann.moving_complete_coefficient_factor line 63

   Source documentation

   This identity includes all original arithmetic guards, terminal windows, smooth factors, compensation weights, and spectators.

   theorem moving_complete_coefficient_factor {σ I : Type*} (q : I → ℕ)
       [∀ i, Fact (q i).Prime] (value : σ → ℕ) (hvalue : ∀ i, value i ≠ 0)
       (childBound pivotBound : ℕ → ℕ)
       (F : {n : ℕ} → MovingSlotData σ n → ℤ → ℂ)
       (E : {n : ℕ} → MovingSlotData σ n → ℤ → ℤ → ℤ → ℝ)
       (g : ∀ i, ZMod (q i) → ℂ) (hg : ∀ i, g i 0 = 0) (Dq : ∀ i, (ZMod (q i))ˣ) (S : Finset I)
       (ψ : 𝓢(ℝ, ℂ)) (X lo hi : ℝ) (hlo : 1 ≤ lo) (hhi : lo ≤ hi)
       (φ : ℝ → ℝ) (G : ℕ → ℝ) (B D : ℝ) (hB : 0 ≤ B) (hD : 0 ≤ D)
       (hφ : ∀ x, |φ x| ≤ B) (hlip : ∀ x y, |φ x - φ y| ≤ D * |x - y|)
       (hout : ∀ x, 1 ≤ |x| → φ x = 0)
       {n : ℕ} (T : MovingSlotData σ n) (t : FrequencyTree ℤ n) (hT : T.Follows t)
       (hf : T.Frequencies (· ≠ 0)) (XL XR : ℕ) :
   …

   Mentions: OAI.Ostmann.MovingSlotData, OAI.Ostmann.FrequencyTree