Absolute continuity of circleMap #
The complex circle parametrization circleMap c R is Lipschitz (lipschitzWith_circleMap), hence
absolutely continuous on every parameter interval.
theorem
TauCeti.absolutelyContinuousOnInterval_circleMap
(c : ℂ)
(R a b : ℝ)
:
AbsolutelyContinuousOnInterval (circleMap c R) a b
The circle parametrization circleMap c R is absolutely continuous on every real parameter
interval, for arbitrary center c and signed radius R.