Re: [Maxima-discuss] Integrating piecewise defined functions

[El O. De M. <obs...@gm...>]

Here is a version of the pw package:
https://github.com/jlapeyre/mext/tree/master/packages/pw

El jue, 28 nov 2024 a las 13:30, Andrei Zorine (<zoa...@gm...>)
escribió:

> Hi, Eduardo!
> There was a PW package by Richard Hennessy. It's still available online if
> you search, but it's unmaintained and abandoned. The latest version is 6.5.
> When I tried to use it, it reported a syntax error which I had to fix
> manually; I removed "_funcs" symbol from the list of block variables inside
> of 'pwint' function definition. Now it works fine.
>
> As to your example, try
> load(pw)$
>  f(x) := ''(piecewise( [minf, 0, 0, 1, 1,0, inf], x))$
> g(x) := ''(piecewise( [minf, 0, 0, x, 1,0, inf], x))$
> pwint(f(t)*g(x-t), t, -2, 2);
>
> Best wishes,
> Andrei Zorine
>
> чт, 28 нояб. 2024 г. в 00:59, Eduardo Ochs <edu...@gm...>:
>
>> Hi list,
>>
>> what is the recommended way to integrate piecewise defined
>> functions? I tried this,
>>
>>   f(x) := if     x<0 then 0
>>           elseif x<1 then 1
>>           else            0;
>>   g(x) := if     x<0 then 0
>>           elseif x<1 then x
>>           else            0;
>>   h(x) := integrate(f(t)*g(x-t), t, -2, +2);
>>
>> and I couldn't find a way to make Maxima calculate this
>> integral...
>>
>>         integrate(f(x), x, -2, 4);
>>   float(integrate(f(x), x, -2, 4));
>>
>> The convolution left Maxima even more confused, obviously...
>> Thanks in advance!
>>   Eduardo Ochs
>>   http://anggtwu.net/eev-maxima.html
>>   http://anggtwu.net/eev-qdraw.html
>> _______________________________________________
>> Maxima-discuss mailing list
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>> https://lists.sourceforge.net/lists/listinfo/maxima-discuss
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