These are curiosity questions. Hope someone knows, but perhaps some
are just buried a little deeper in the documentation than I thought.
1. The solve wrapper of maxima does some nice stuff symbolically, but
of course it can't handle everything, like
sage: solve(x^5-x-12,x)
[0 == x^5 - x - 12]
which makes sense! But I poked around a little for a numerical
approximation of solutions command and didn't find it. This probably
means I just didn't look in the right places - any ideas? I
understand Mathematica calls this sort of thing nsolve, but I really
don't know.
2. How far does Sage recognize complex numbers a priori? For
instance,
sage: abs(1+i)
sqrt(2)
but pretty much anything else doesn't seem to recognize it, as indeed
sage: z=1+i
sage: z.[tab]
[lots of functions but all symbolic, which makes sense in any case,
though I never defined var('i')]
A followup would be to ask if any of those functions have functional
notation; there are lots of functions for CC, but they mostly seem to
use object notation.
3. I remember that at some point implicit coefficient multiplication
was implemented, e.g.
sage: 2x
2*x
or something like that. For some reason I didn't have my computer on
me at that point and never tried it, and now I consistently get error
messages when I try, as in
sage: 2x
Syntax Error:
2x
Did that end up being unimplemented for breaking something, or I am
just using it wrong, or did it not get implemented after all? My
working assumption is I'm using it wrong.
Like I said, just curious - thanks for any info along these lines!
- kcrisman
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