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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.
- My proof that Weierstrass Functions lacks a derivative, as a .docx file.
- My proof that Weierstrass Functions lacks a derivative, as a .pdf file.
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.
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