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:
“Think of the tools in a tool-box: there is a hammer, pliers, a saw, a screwdriver, a rule, a glue-pot, nails and screws.—The function of words are as diverse as the functions of these objects.”
—Ludwig Wittgenstein (1889–1951)