OAI/NumberTheory/Ostmann/Arithmetic/MovingOriginalDiagonalMean.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Equality patterns of the original mixed diagonal mean

  1. def OAI.Ostmann.movingExternalDiagonalWeight line 14

    Source documentation

    The common regular multiplier depends only on the external draws.

    noncomputable def movingExternalDiagonalWeight {σ B : Type*} {n : ℕ}
        (value : σ → ℕ) (outside : List ℕ) (small bulk : TreeLeafTuple (List B) n)
        (greg : ∀ q : ℕ, ZMod q → ℂ) (sreg : ℤ)
        (φ : ℝ → ℝ) (Jleft Jright : ℝ) (diagonal : Bool)
        (y : B → σ) (x z : ℝ) : ℂ :=
    …

    Mentions: OAI.Ostmann.TreeLeafTuple

  2. def OAI.Ostmann.movingOriginalDiagonalKernel line 26
  3. def OAI.Ostmann.movingOriginalDiagonalMean line 47

    Source documentation

    Both history averages and the external law are the original ones.

    noncomputable def movingOriginalDiagonalMean {σ I B : Type*}
        [Fintype σ] [Fintype B] (q : I → ℕ) [∀ i, Fact (q i).Prime]
        (value : σ → ℕ) (outside : List ℕ) (μ : ℕ → σ → ℝ) (ν : B → σ → ℝ)
        (childBound pivotBound : ℕ → ℕ) (f : ℤ → ℂ)
        (g : ∀ i, ZMod (q i) → ℂ) (Dq : ∀ i, (ZMod (q i))ˣ) (S : Finset I)
        (ψ : 𝓢(ℝ, ℂ)) (X lo hi : ℝ) (φ : ℝ → ℝ) (G : ℕ → ℝ)
        (n : ℕ) (t : Bool → FrequencyTree ℤ n) (small bulk : TreeLeafTuple (List B) n)
        (greg : ∀ q : ℕ, ZMod q → ℂ) (sreg : ℤ)
        (Jleft Jright : ℝ) (diagonal : Bool) (u v r w center : ℝ) : ℂ :=
    …

    Mentions: OAI.Ostmann.FrequencyTree, OAI.Ostmann.TreeLeafTuple

  4. theorem OAI.Ostmann.movingOriginalDiagonalMean_patterns line 66