: Mathematics: Volterra's function

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mathematical analysis > real analysis > real-valued function > Volterra's function

Volterra's function

In mathematics, Volterra's function, named for Vito Volterra, is a real-valued function V defined on the real line R with the following curious combination of properties :
- V is differentiable everywhere
- The derivative V ′ is bounded everywhere
- The derivative is not Riemann-integrable.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Volterra%27s_function)

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