Non-differentiable functions...

August 10 2005 Silvexil 28
0
There are some "interesting" functions which I learned about in undergrad: the Weierstrass function is differentiable nowhere, and the 'Christmas-tree' function is continuous at the irrationals and not differentiable at the rationals. I told some of the more interested students about these while I was covering differentiation during my numerical methods course, and I ended up creating two cool 'zooms' on these functions which I posted to my course web page. Anyone interested can download them If someone knows a better name (i.e., what it is officially called) for the 'Christmas-tree' function, please let me know. Otherwise, if anyone wants to use these images, go ahead. Of course, they were created courtesy of Maple and evalhf. It was rather impressive how much faster evalhf was; seconds as compared to hours for the Weierstrass function. Cheers, Douglas

Please Wait...