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Sigmoid transition \(\sigma(\theta) = [1 + e^{-k(\theta - \theta_0)}]^{-1}\) with \(k = {\rm damping}/\theta_\lambda\), \(\theta_0 = \theta_\lambda/2\) (Costanzi 2026 eq. 6).
damping (float)
theta0_frac (float)
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sigmoid_theta()