11.1.3  Apply a function to the internal sparse format of a polynomial

The map command can apply a function to the coefficients of a polynomial written in internal sparse format. (See Section 6.3.28 for other uses of map.)

• map takes two arguments:
  • P, a polynomial of k variables in internal sparse format.
  • f, a function of k+1 variables.
• map(P,f) applies f to the coefficients of P; namely, it returns a polynomial which replaces each term %%%{a,[n₁,…,n_k]%%%} in P by %%%{f(a,n₁,…,n_k),[n₁,…,n_k]%%%}.

Example