OAI/NumberTheory/Ostmann/Arithmetic/MovingDirectRecursion.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

The original sampled recursion with the explicit giant quotient

  1. theorem OAI.Ostmann.movingSampledWeight_direct_node line 13

    Source documentation

    The original sample law and the two independent child sample trees are retained. The inserted giant is exactly (v H⁻ - w H⁺)/(s U), matching the weighted integer off-diagonal, with every root support test still explicit.

    theorem movingSampledWeight_direct_node {σ : Type*} [Fintype σ]
        (value : σ → ℕ) (μ : ℕ → σ → ℝ) (childBound pivotBound : ℕ → ℕ)
        (F : MovingSlotState σ → ℤ → ℂ) (φ : ℝ → ℝ) (G : ℕ → ℝ)
        (n : ℕ) (t : FrequencyTree ℤ (n + 1))
        (small bulk : TreeLeafTuple (List σ) (n + 1)) (XL XR : ℕ) :
        let E := movingCompensatedExtra value (movingOriginalNode value childBound pivotBound φ G)
    …

    Mentions: OAI.Ostmann.MovingSlotState, OAI.Ostmann.FrequencyTree, OAI.Ostmann.TreeLeafTuple, OAI.Ostmann.movingCompensatedExtra, OAI.Ostmann.movingOriginalNode