OAI/NumberTheory/Ostmann/Arithmetic/MovingOriginalMatchedMean.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The original matched-history mean and its exact equality patterns

  1. def OAI.Ostmann.movingOriginalMatchedKernel line 11
  2. def OAI.Ostmann.movingOriginalMatchedMean line 32

    Source documentation

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

    noncomputable def movingOriginalMatchedMean {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 : TreeLeafTuple (List B) n) (bulk : Bool → 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

  3. theorem OAI.Ostmann.movingOriginalMatchedMean_patterns line 51