Attached is the output of the latest piecewise.py (I got convolution, latex 
printing, and Asymptote ploting working)

On Monday, September 5, 2022 at 11:42:49 AM UTC-4 brombo wrote:

> Would this be of any interest to anyone (see and run attached).  I have 
> written a piecewise function class (not like the one already in sympy) 
> where the piecewise function is defined on an ordered numerical grid (see 
> attached).  The class in not finished but I can calculate the convolved 
> powers of gate functions and will extend the class to calculate the 
> convolution of two piecewise functions if sympy can integrate the member 
> functions of the piecewise function.  My interest comes from knowing the 
> Fourier transform of a gate function is a sinc function.  Thus the Fourier 
> transform of a gate repeatedly convolved with itself is the power of a sinc 
> function.  This is relevant to finding rf modulation envelopes that 
> minimize  sidebands.  Please run the code an see if it of general interest 
> and I will complete the class and documentation and submit it as an 
> addition to sympy.
>

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Attachment: convolutions.pdf
Description: Adobe PDF document

Attachment: piecewise.pdf
Description: Adobe PDF document

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