Piecewise Continuous Functions.
- To: mathgroup@smc.vnet.net
- Subject: [mg11595] Piecewise Continuous Functions.
- From: Jack Goldberg <jackgold@math.lsa.umich.edu>
- Date: Tue, 17 Mar 1998 10:43:24 -0500
Hi group; In [mg11549] William F. Campbell asks a question about automatic generation of piecewise continuous functions (pcf). I am not prepared to answer his specific question, but would like to comment that I have written an extensive (at least for me) program that generates pcf's automatically. More importantly, this program correctly integrates pcf's. By this I mean that the anti-derivative is continuous and its derivative is the original pc function with the exception of points where the derivative doesn't exist. Besides this feature (the reason I started this program in the first place) my program adds, multiplies, etc pcf's and presents a standard form for the resulting function. The program is available to all. I have not submitted it to MathSource because I just can't seem to get around to dotting all the p's and q's. Also, I am not particularly proud of the prgramming techniques I used to get this thing to work. But it does work! I wanted such a program to find the exact Fourier Coefficients of various pcf's common in Engineering practice. Step functions, saw-tooths, square waves and the like. This one does it. If anyone is interested in using this program I will find a way to send it to you. Perhaps someone could "clean it up" so that it would be of use to a wider audience. Jack Goldberg Math University of Michigan Ann Arbor MI 48109