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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 function|differentiable]] everywhere
* The derivative ''V'' ′ is [[bounded function|bounded]] everywhere
* The derivative is not [[Riemann integration|Riemann-integrable]].
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