————————————————————————————————
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, which conflicts with the view most of us have about the graphs of functions.
Wrote this in a simplistic fashion, so as to be understood by undergrads in STEM fields, and not just math undergrads, grad students.
- My proof that Weierstrass Functions lacks a derivative, as a .docx file.
- My proof that Weierstrass Functions lacks a derivative, as a .pdf file. For reasons I do not know, images came out funky.
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.
————————————————————————————————