Absolute Continuity

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An Absolute Continuity is a mathematical property of function or variable being absolutely continuous.

See: Singular Function, Continuous Function.



References

2017

We have the following chains of inclusions for functions over a compact subset of the real line:
absolutely continuousuniformly continuous = continuous
and:
 : Continuously differentiableLipschitz continuousabsolutely continuousbounded variationdifferentiable almost everywhere