Weierstrass Function

In mathematics, the Weierstrass function is a pathological example of a real-valued function on the real line. The function has the property that it is continuous everywhere but differentiable nowhere. It is named after its discoverer Karl Weierstrass.

Historically, the Weierstrass function is important because it was the first published (1872) to challenge the notion that every continuous function was differentiable except on a set of isolated points.

Read more about Weierstrass Function:  Construction, Hölder Continuity, Density of Nowhere-differentiable Functions

Famous quotes containing the word function:

    Literature does not exist in a vacuum. Writers as such have a definite social function exactly proportional to their ability as writers. This is their main use.
    Ezra Pound (1885–1972)