CODEWITHSUNDEEP
simplifymaxima
Cássio
Cássio

Reputation: 649

Simplifying constants

In the expressions below, x is variable and a, b, c, k are undefined constants. Is there a function to simplify constants in Maxima?

Examples,

Upvotes: 2

Views: 286

Answers (2)

smichr
smichr

Reputation: 18979

There is a solution for this sort of problem here. (I'm not sure if that answer should be duplicated here and that issue closed as a duplicate of this or if this should just reference that.)

Upvotes: 0

Robert Dodier
Robert Dodier

Reputation: 17577

There is not a specific function for it, but I think you can create something via freeof. E.g.:

(%i12) merge_constants (expr, var, newconst) :=
         block ([freeof_var : sublist (args (expr), lambda ([e1], freeof (var, e1)))],
           expr - apply ("+", freeof_var) + newconst) $
(%i13) merge_constants (x^2 - 2*a + b + c, x, k);
                                     2
(%o13)                              x  + k
(%i14) merge_constants (2^x + a/b + c^2, x, k);
                                     x
(%o14)                              2  + k
(%i15) merge_constants (sin(u) + u*cos(v) + v^2 + tan(w), u, m);
(%o15)                       u cos(v) + sin(u) + m

This function merge_constants is just a first try. I'm sure there are ways to improve it. E.g. return the freeof_var value to see what was replaced by newconst. Anyway I hope this is useful.

Upvotes: 3

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