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structure definition def or abbrev

RingPerturbationControl

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formal statement (Lean)

 171structure RingPerturbationControl (fam : DefectSampledFamily) where
 172  small : ∀ N : ℕ, ∀ n : Fin N, ∀ j : Fin (8 * (n.val + 1)),
 173    |Real.log Constants.phi *
 174        (((fam.mesh N).rings n).increments j -
 175          (-(2 * Real.pi * ((fam.mesh N).charge : ℝ)) / (8 * (n.val + 1) : ℝ)))| ≤ 1
 176  total_bounded : ∃ K : ℝ, ∀ N : ℕ,
 177    ∑ n : Fin N, realizedRingPerturbationError fam N n ≤ K
 178
 179/-- A perturbation-control package yields the ring-regular-error package needed
 180for bounded annular excess. -/

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