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.

Read more about Volterra's Function:  Definition and Construction, Further Properties

Famous quotes containing the word function:

    “Of all the inhabitants of the inferno, none but Lucifer knows that hell is hell, and the secret function of purgatory is to make of heaven an effective reality.”
    —Arnold Bennett (1867–1931)