Re: [Maxima-discuss] How do I translate "(map 'list f as)" to Maxima?

[Stavros M. <mac...@gm...>]

On Tue, Oct 24, 2023 at 3:31 PM Eduardo Ochs <edu...@gm...> wrote:

> map sometimes recurses on trees, not on lists:
>

Not true. Map only works on the top-level arguments of the function:

map(f,a+b+c) => f(a)+f(b)+f(c)
map(f,a/2+b/2+c/2) => f(a/2)+f(b/2)+f(c/2)
map(f,(a+b+c)/2) => f(c+b+a)/f(2) (top level operator is "/")
map(f,[[[a],b],c]) => [f([[a],b]),f(c)]. (top level operator is "[")

On the other hand, with *listarith=true* (the default), Maxima performs
term-wise arithmetic on lists:

[a,[b,c]]+[[q,r],s] => [[q+a,r+a],[s+b,s+c]]
listarith:false$
[a,[b,c]]+[[q,r],s] => [[q,r],s]+[a,[b,c]]