On how Weierstrass Functions lack a derivative, have infinite arc length on finite intervals, have  graphs of Hausdorff Dimension strictly greater than 1, and, are not monotonic on any interval


Entertainment: Work I did, proving Weierstrass Functions lacks a derivative, at any point. Are not monotonic, on any interval. On any finite interval, have infinite arc length. And, their graphs are of Hausdorff Dimension strictly greater than one.

Wrote this in a simplistic fashion, so as to be understood by undergrads, and not just math undergrads.

A graph of the Weierstrass Function

A graph I made, of the Weierstrass Function. Had to cut the sum, at 250. Software makes it impossible for a sum to go to infinity.


© dino 2018