Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Weierstrass Function

    Illustration

    Illustration

    Definition

    The pathological function f_a(x) = sum_(k = 1)^∞ (sin(π k^a x))/(π k^a) (originally defined for a = 2) that is continuous but differentiable only on a set of points of measure zero. The plots above show f_a(x) for a = 2 (red), 3 (green), and 4 (blue).

    Associated person

    Karl Weierstrass

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.