Recent content by cinlef

  1. C

    Proving that Holder Continuity with a>1 implies a constant function

    Homework Statement More or less the thread title: Given f: Rn -> Rm, and f is both differentiable and satisfies the condition: \left| f(x) - f(y) \right| \leq C \left| x-y \right|^{\alpha}. for all x,y in Rn, and alpha > 1, prove that f is a constant function.Homework...