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:
“Nobody seriously questions the principle that it is the function of mass culture to maintain public morale, and certainly nobody in the mass audience objects to having his morale maintained.”
—Robert Warshow (19171955)