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def definition def or abbrev

eightTickKernelParams

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formal statement (Lean)

  64noncomputable def eightTickKernelParams (tau0 : ℝ) (h : 0 < tau0) : KernelParams := {

proof body

Definition body.

  65  alpha := alphaLock,
  66  C := 49 / 162,
  67  tau0 := tau0,
  68  tau0_pos := h,
  69  alpha_nonneg := le_of_lt alphaLock_pos,
  70  C_nonneg := by norm_num
  71}
  72
  73/-! ## Kernel Definition -/
  74
  75/-- The ILG kernel function:
  76  w(k, a) = 1 + C · (a / (k τ₀))^α
  77
  78We use max with a small ε to avoid division issues when k τ₀ = 0. -/

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